257525225 has 12 divisors (see below), whose sum is σ = 324568140. Its totient is φ = 202641600.

The previous prime is 257525209. The next prime is 257525243. The reversal of 257525225 is 522525752.

It can be written as a sum of positive squares in 6 ways, for example, as 99042304 + 158482921 = 9952^2 + 12589^2 .

It is not a de Polignac number, because 257525225 - 2⁴ = 257525209 is a prime.

It is a super-2 number, since 2×257525225² = 132638483022601250, which contains 22 as substring.

It is a Curzon number.

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, 82910 + ... + 85959.

It is an arithmetic number, because the mean of its divisors is an integer number (27047345).

Almost surely, 2^257525225 is an apocalyptic number.

257525225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257525225 is a deficient number, since it is larger than the sum of its proper divisors (67042915).

257525225 is a wasteful number, since it uses less digits than its factorization.

257525225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168940 (or 168935 counting only the distinct ones).

The product of its digits is 70000, while the sum is 35.

The square root of 257525225 is about 16047.5924985650. The cubic root of 257525225 is about 636.2189370908.

The spelling of 257525225 in words is "two hundred fifty-seven million, five hundred twenty-five thousand, two hundred twenty-five".