512957 has 4 divisors (see below), whose sum is σ = 529536. Its totient is φ = 496380.

The previous prime is 512929. The next prime is 512959. The reversal of 512957 is 759215.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 512957 - 2¹⁰ = 511933 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 (512959) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8243 + ... + 8304.

It is an arithmetic number, because the mean of its divisors is an integer number (132384).

2⁵¹²⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

512957 is a deficient number, since it is larger than the sum of its proper divisors (16579).

512957 is a wasteful number, since it uses less digits than its factorization.

512957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16578.

The product of its digits is 3150, while the sum is 29.

The square root of 512957 is about 716.2101646863. The cubic root of 512957 is about 80.0498127272.

It can be divided in two parts, 512 and 957, that multiplied together give a palindrome (489984).

The spelling of 512957 in words is "five hundred twelve thousand, nine hundred fifty-seven".