257572225 has 12 divisors (see below), whose sum is σ = 320096700. Its totient is φ = 205601600.

The previous prime is 257572213. The next prime is 257572241. The reversal of 257572225 is 522275752.

It can be written as a sum of positive squares in 6 ways, for example, as 43125489 + 214446736 = 6567^2 + 14644^2 .

It is not a de Polignac number, because 257572225 - 2¹³ = 257564033 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351 + ... + 22699.

It is an arithmetic number, because the mean of its divisors is an integer number (26674725).

Almost surely, 2^257572225 is an apocalyptic number.

257572225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257572225 is a deficient number, since it is larger than the sum of its proper divisors (62524475).

257572225 is a wasteful number, since it uses less digits than its factorization.

257572225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22820 (or 22815 counting only the distinct ones).

The product of its digits is 98000, while the sum is 37.

The square root of 257572225 is about 16049.0568258699. The cubic root of 257572225 is about 636.2576394110.

The spelling of 257572225 in words is "two hundred fifty-seven million, five hundred seventy-two thousand, two hundred twenty-five".