257713725 has 48 divisors (see below), whose sum is σ = 437071232. Its totient is φ = 133954560.

The previous prime is 257713699. The next prime is 257713747. The reversal of 257713725 is 527317752.

It is not a de Polignac number, because 257713725 - 2⁶ = 257713661 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563697 + ... + 564153.

Almost surely, 2^257713725 is an apocalyptic number.

257713725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257713725 is a deficient number, since it is larger than the sum of its proper divisors (179357507).

257713725 is a wasteful number, since it uses less digits than its factorization.

257713725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 641 counting only the distinct ones).

The product of its digits is 102900, while the sum is 39.

The square root of 257713725 is about 16053.4645793361. The cubic root of 257713725 is about 636.3741296816.

The spelling of 257713725 in words is "two hundred fifty-seven million, seven hundred thirteen thousand, seven hundred twenty-five".