51913 has 2 divisors, whose sum is σ = 51914. Its totient is φ = 51912.

The previous prime is 51907. The next prime is 51929. The reversal of 51913 is 31915.

51913 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43264 + 8649 = 208^2 + 93^2 .

It is a cyclic number.

It is not a de Polignac number, because 51913 - 2¹³ = 43721 is a prime.

51913 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (51973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25956 + 25957.

It is an arithmetic number, because the mean of its divisors is an integer number (25957).

2⁵¹⁹¹³ is an apocalyptic number.

It is an amenable number.

51913 is a deficient number, since it is larger than the sum of its proper divisors (1).

51913 is an equidigital number, since it uses as much as digits as its factorization.

51913 is an evil number, because the sum of its binary digits is even.

The product of its digits is 135, while the sum is 19.

The square root of 51913 is about 227.8442450447. The cubic root of 51913 is about 37.3042840209.

The spelling of 51913 in words is "fifty-one thousand, nine hundred thirteen".