257425 has 12 divisors (see below), whose sum is σ = 365056. Its totient is φ = 176400.

The previous prime is 257407. The next prime is 257437. The reversal of 257425 is 524752.

It is not a de Polignac number, because 257425 - 2⁷ = 257297 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 257425.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561 + ... + 910.

2²⁵⁷⁴²⁵ is an apocalyptic number.

257425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257425 is a deficient number, since it is larger than the sum of its proper divisors (107631).

257425 is a wasteful number, since it uses less digits than its factorization.

257425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1483 counting only the distinct ones).

The product of its digits is 2800, while the sum is 25.

The square root of 257425 is about 507.3706731769. The cubic root of 257425 is about 63.6136390722.

The spelling of 257425 in words is "two hundred fifty-seven thousand, four hundred twenty-five".