257608025 has 12 divisors (see below), whose sum is σ = 319812864. Its totient is φ = 205842000.

The previous prime is 257607991. The next prime is 257608031. The reversal of 257608025 is 520806752.

It is not a de Polignac number, because 257608025 - 2⁸ = 257607769 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17120 + ... + 28430.

It is an arithmetic number, because the mean of its divisors is an integer number (26651072).

Almost surely, 2^257608025 is an apocalyptic number.

257608025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257608025 is a deficient number, since it is larger than the sum of its proper divisors (62204839).

257608025 is a wasteful number, since it uses less digits than its factorization.

257608025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12232 (or 12227 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 257608025 is about 16050.1721174572. The cubic root of 257608025 is about 636.2871158918.

The spelling of 257608025 in words is "two hundred fifty-seven million, six hundred eight thousand, twenty-five".