257262957 has 12 divisors (see below), whose sum is σ = 424688160. Its totient is φ = 147007368.

The previous prime is 257262839. The next prime is 257262977. The reversal of 257262957 is 759262752.

257262957 is a `hidden beast` number, since 2 + 572 + 6 + 29 + 57 = 666.

It is not a de Polignac number, because 257262957 - 2⁷ = 257262829 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257262977) 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, 2041707 + ... + 2041832.

It is an arithmetic number, because the mean of its divisors is an integer number (35390680).

Almost surely, 2^257262957 is an apocalyptic number.

It is an amenable number.

257262957 is a deficient number, since it is larger than the sum of its proper divisors (167425203).

257262957 is a wasteful number, since it uses less digits than its factorization.

257262957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4083552 (or 4083549 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 257262957 is about 16039.4188485743. The cubic root of 257262957 is about 636.0028850587.

The spelling of 257262957 in words is "two hundred fifty-seven million, two hundred sixty-two thousand, nine hundred fifty-seven".