515957 has 12 divisors (see below), whose sum is σ = 579744. Its totient is φ = 458640.

The previous prime is 515951. The next prime is 515969. The reversal of 515957 is 759515.

It is not a de Polignac number, because 515957 - 2⁴ = 515941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7232 + ... + 7302.

It is an arithmetic number, because the mean of its divisors is an integer number (48312).

2⁵¹⁵⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

515957 is a deficient number, since it is larger than the sum of its proper divisors (63787).

515957 is a wasteful number, since it uses less digits than its factorization.

515957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its digits is 7875, while the sum is 32.

The square root of 515957 is about 718.3014687441. The cubic root of 515957 is about 80.2055650850.

The spelling of 515957 in words is "five hundred fifteen thousand, nine hundred fifty-seven".