257310825 has 24 divisors (see below), whose sum is σ = 447813600. Its totient is φ = 130008960.

The previous prime is 257310811. The next prime is 257310841. The reversal of 257310825 is 528013752.

It is not a de Polignac number, because 257310825 - 2¹⁴ = 257294441 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88860 + ... + 91709.

It is an arithmetic number, because the mean of its divisors is an integer number (18658900).

Almost surely, 2^257310825 is an apocalyptic number.

257310825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257310825 is a deficient number, since it is larger than the sum of its proper divisors (190502775).

257310825 is a wasteful number, since it uses less digits than its factorization.

257310825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180601 (or 180596 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 257310825 is about 16040.9109778715. The cubic root of 257310825 is about 636.0423288745.

The spelling of 257310825 in words is "two hundred fifty-seven million, three hundred ten thousand, eight hundred twenty-five".