50513 (number)
50,513 (fifty thousand five hundred thirteen) is an odd fivedigits prime number following 50512 and preceding 50514. In scientific notation, it is written as 5.0513 × 10^{4}. The sum of its digits is 14. It has a total of 1 prime factor and 2 positive divisors. There are 50,512 positive integers (up to 50513) that are relatively prime to 50513.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 14
 Digital Root 5
Name
Short name  50 thousand 513 

Full name  fifty thousand five hundred thirteen 
Notation
Scientific notation  5.0513 × 10^{4} 

Engineering notation  50.513 × 10^{3} 
Prime Factorization of 50513
Prime Factorization 50513
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  50513  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  10.829986007878  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 50,513 is 50513. Since it has a total of 1 prime factor, 50,513 is a prime number.
Divisors of 50513
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  50514  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  25257  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  224.75097330156  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999604070159  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 50,513 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 50,513) is 50,514, the average is 25,257.
Other Arithmetic Functions (n = 50513)
φ(n)  Euler Totient  50512  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  50512  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 5178  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 50,512 positive integers (less than 50,513) that are coprime with 50,513. And there are approximately 5,178 prime numbers less than or equal to 50,513.
Divisibility of 50513
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  3  5  1  1  5 
50,513 is not divisible by any number less than or equal to 9.
Classification of 50513
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (50513)
Base  System  Value 

2  Binary  1100010101010001 
3  Ternary  2120021212 
4  Quaternary  30111101 
5  Quinary  3104023 
6  Senary  1025505 
8  Octal  142521 
10  Decimal  50513 
12  Duodecimal  25295 
16  Hexadecimal  c551 
20  Vigesimal  665d 
36  Base36  12z5 
Basic calculations (n = 50513)
Multiplication
n×yn×2  101026 

n×3  151539 
n×4  202052 
n×5  252565 
Division
n÷yn÷2  25256.500 

n÷3  16837.666 
n÷4  12628.250 
n÷5  10102.600 
Exponentiation
n^{y}n^{2}  2551563169 

n^{3}  128887110355697 
n^{4}  6510474605397322561 
n^{5}  328863603742434954523793 
Nth Root
^{y}√n^{2}√n  224.75097330156 

^{3}√n  36.965880404047 
^{4}√n  14.991696811954 
^{5}√n  8.7232964660015 
50513 as geometric shapes
Circle
Radius = nDiameter  101026 

Circumference  317382.53942156 
Area  8015972106.9007 
Sphere
Radius = nVolume  5.3988106538117E+14 

Surface area  32063888427.603 
Circumference  317382.53942156 
Square
Length = nPerimeter  202052 

Area  2551563169 
Diagonal  71436.169676152 
Cube
Length = nSurface area  15309379014 

Volume  128887110355697 
Space diagonal  87491.082442727 
Equilateral Triangle
Length = nPerimeter  151539 

Area  1104859261.8574 
Altitude  43745.541221363 
Triangular Pyramid
Length = nSurface area  4419437047.4295 

Volume  15189491623342 
Height  41243.691792402 
Cryptographic Hash Functions
md5  62b72f8e81aca76c2d5c5d6b91972850 

sha1  265908e2108da5de649b127e476edc34650e8288 
sha256  f7bc6f936681533fc90f02c6859bb323e445fcf9fc732a01e2817d750ac1e267 
sha512  a0bf151525f97a4e2245991cfd0fede84460c7379f091e40fef8119da195058702006922f881f7fdaf0f2c457ec4ee08ad001c2826aa39db9616ea91446059e5 
ripemd160  c3cc7d9c5ad7402222ee96abd329943b871b58ba 