257626625 has 8 divisors (see below), whose sum is σ = 321518184. Its totient is φ = 206101200.

The previous prime is 257626601. The next prime is 257626639. The reversal of 257626625 is 526626752.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44729344 + 212897281 = 6688^2 + 14591^2 .

It is not a de Polignac number, because 257626625 - 2¹² = 257622529 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1030382 + ... + 1030631.

It is an arithmetic number, because the mean of its divisors is an integer number (40189773).

Almost surely, 2^257626625 is an apocalyptic number.

257626625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257626625 is a deficient number, since it is larger than the sum of its proper divisors (63891559).

257626625 is an equidigital number, since it uses as much as digits as its factorization.

257626625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061028 (or 2061018 counting only the distinct ones).

The product of its digits is 302400, while the sum is 41.

The square root of 257626625 is about 16050.7515400370. The cubic root of 257626625 is about 636.3024294100.

The spelling of 257626625 in words is "two hundred fifty-seven million, six hundred twenty-six thousand, six hundred twenty-five".