508957 has 2 divisors, whose sum is σ = 508958. Its totient is φ = 508956.

The previous prime is 508951. The next prime is 508961. The reversal of 508957 is 759805.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 337561 + 171396 = 581^2 + 414^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-508957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (508951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254478 + 254479.

It is an arithmetic number, because the mean of its divisors is an integer number (254479).

2⁵⁰⁸⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

508957 is a deficient number, since it is larger than the sum of its proper divisors (1).

508957 is an equidigital number, since it uses as much as digits as its factorization.

508957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12600, while the sum is 34.

The square root of 508957 is about 713.4122230520. The cubic root of 508957 is about 79.8411953889.

The spelling of 508957 in words is "five hundred eight thousand, nine hundred fifty-seven".