257813725 has 36 divisors (see below), whose sum is σ = 349456800. Its totient is φ = 188585280.

The previous prime is 257813707. The next prime is 257813729. The reversal of 257813725 is 527318752.

It is a happy number.

It is not a de Polignac number, because 257813725 - 2¹⁷ = 257682653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257813729) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 587056 + ... + 587494.

Almost surely, 2^257813725 is an apocalyptic number.

257813725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257813725 is a deficient number, since it is larger than the sum of its proper divisors (91643075).

257813725 is a wasteful number, since it uses less digits than its factorization.

257813725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 596 counting only the distinct ones).

The product of its digits is 117600, while the sum is 40.

The square root of 257813725 is about 16056.5788697344. The cubic root of 257813725 is about 636.4564292484.

The spelling of 257813725 in words is "two hundred fifty-seven million, eight hundred thirteen thousand, seven hundred twenty-five".