257118325 has 24 divisors (see below), whose sum is σ = 323898912. Its totient is φ = 202451520.

The previous prime is 257118299. The next prime is 257118343. The reversal of 257118325 is 523811752.

It is not a de Polignac number, because 257118325 - 2¹⁵ = 257085557 is a prime.

It is a super-2 number, since 2×257118325² = 132219666101611250, which contains 22 as substring.

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, 740802 + ... + 741148.

It is an arithmetic number, because the mean of its divisors is an integer number (13495788).

Almost surely, 2^257118325 is an apocalyptic number.

257118325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257118325 is a deficient number, since it is larger than the sum of its proper divisors (66780587).

257118325 is a wasteful number, since it uses less digits than its factorization.

257118325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 736 counting only the distinct ones).

The product of its digits is 16800, while the sum is 34.

The square root of 257118325 is about 16034.9095725545. The cubic root of 257118325 is about 635.8836767931.

The spelling of 257118325 in words is "two hundred fifty-seven million, one hundred eighteen thousand, three hundred twenty-five".