257083975 has 24 divisors (see below), whose sum is σ = 323729280. Its totient is φ = 202506720.

The previous prime is 257083969. The next prime is 257083987. The reversal of 257083975 is 579380752.

It is not a de Polignac number, because 257083975 - 2⁵ = 257083943 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 580104 + ... + 580546.

It is an arithmetic number, because the mean of its divisors is an integer number (13488720).

Almost surely, 2^257083975 is an apocalyptic number.

257083975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

257083975 is a deficient number, since it is larger than the sum of its proper divisors (66645305).

257083975 is a wasteful number, since it uses less digits than its factorization.

257083975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 46.

The square root of 257083975 is about 16033.8384362572. The cubic root of 257083975 is about 635.8553583434.

The spelling of 257083975 in words is "two hundred fifty-seven million, eighty-three thousand, nine hundred seventy-five".