257575 has 6 divisors (see below), whose sum is σ = 319424. Its totient is φ = 206040.

The previous prime is 257561. The next prime is 257591. The reversal of 257575 is 575752.

It is not a de Polignac number, because 257575 - 2⁷ = 257447 is a prime.

It is a Duffinian number.

257575 is a modest number, since divided by 7575 gives 25 as remainder.

257575 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5127 + ... + 5176.

2²⁵⁷⁵⁷⁵ is an apocalyptic number.

257575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

257575 is a deficient number, since it is larger than the sum of its proper divisors (61849).

257575 is a wasteful number, since it uses less digits than its factorization.

257575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10313 (or 10308 counting only the distinct ones).

The product of its digits is 12250, while the sum is 31.

The square root of 257575 is about 507.5184725702. The cubic root of 257575 is about 63.6259924348.

The spelling of 257575 in words is "two hundred fifty-seven thousand, five hundred seventy-five".