257427225 has 72 divisors (see below), whose sum is σ = 513931392. Its totient is φ = 122102400.

The previous prime is 257427217. The next prime is 257427227. The reversal of 257427225 is 522724752.

257427225 is a `hidden beast` number, since 2 + 5 + 7 + 427 + 225 = 666.

It is not a de Polignac number, because 257427225 - 2³ = 257427217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257427225.

It is not an unprimeable number, because it can be changed into a prime (257427227) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 115219 + ... + 117431.

It is an arithmetic number, because the mean of its divisors is an integer number (7137936).

Almost surely, 2^257427225 is an apocalyptic number.

257427225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257427225 is a deficient number, since it is larger than the sum of its proper divisors (256504167).

257427225 is a wasteful number, since it uses less digits than its factorization.

257427225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2279 counting only the distinct ones).

The product of its digits is 78400, while the sum is 36.

The square root of 257427225 is about 16044.5387905044. The cubic root of 257427225 is about 636.1382234877.

The spelling of 257427225 in words is "two hundred fifty-seven million, four hundred twenty-seven thousand, two hundred twenty-five".