257647325 has 24 divisors (see below), whose sum is σ = 364304808. Its totient is φ = 179066880.

The previous prime is 257647319. The next prime is 257647337. The reversal of 257647325 is 523746752.

It can be written as a sum of positive squares in 12 ways, for example, as 110292004 + 147355321 = 10502^2 + 12139^2 .

It is not a de Polignac number, because 257647325 - 2¹⁸ = 257385181 is a prime.

It is a Duffinian number.

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, 17792 + ... + 28841.

It is an arithmetic number, because the mean of its divisors is an integer number (15179367).

Almost surely, 2^257647325 is an apocalyptic number.

257647325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257647325 is a deficient number, since it is larger than the sum of its proper divisors (106657483).

257647325 is a wasteful number, since it uses less digits than its factorization.

257647325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46673 (or 46668 counting only the distinct ones).

The product of its digits is 352800, while the sum is 41.

The square root of 257647325 is about 16051.3963567037. The cubic root of 257647325 is about 636.3194710072.

The spelling of 257647325 in words is "two hundred fifty-seven million, six hundred forty-seven thousand, three hundred twenty-five".