257205875 has 16 divisors (see below), whose sum is σ = 322055136. Its totient is φ = 205084000.

The previous prime is 257205841. The next prime is 257205917. The reversal of 257205875 is 578502752.

It is not a de Polignac number, because 257205875 - 2¹⁰ = 257204851 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36380 + ... + 42870.

It is an arithmetic number, because the mean of its divisors is an integer number (20128446).

Almost surely, 2^257205875 is an apocalyptic number.

257205875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

257205875 is a deficient number, since it is larger than the sum of its proper divisors (64849261).

257205875 is an equidigital number, since it uses as much as digits as its factorization.

257205875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6823 (or 6813 counting only the distinct ones).

The product of its (nonzero) digits is 196000, while the sum is 41.

The square root of 257205875 is about 16037.6393212966. The cubic root of 257205875 is about 635.9558423979.

The spelling of 257205875 in words is "two hundred fifty-seven million, two hundred five thousand, eight hundred seventy-five".