257528025 has 24 divisors (see below), whose sum is σ = 473089760. Its totient is φ = 137347920.

The previous prime is 257528009. The next prime is 257528057. The reversal of 257528025 is 520825752.

257528025 is a `hidden beast` number, since 2 + 575 + 2 + 80 + 2 + 5 = 666.

It is not a de Polignac number, because 257528025 - 2⁴ = 257528009 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190087 + ... + 191436.

Almost surely, 2^257528025 is an apocalyptic number.

257528025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257528025 is a deficient number, since it is larger than the sum of its proper divisors (215561735).

257528025 is a wasteful number, since it uses less digits than its factorization.

257528025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381542 (or 381531 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 257528025 is about 16047.6797388283. The cubic root of 257528025 is about 636.2212428929.

The spelling of 257528025 in words is "two hundred fifty-seven million, five hundred twenty-eight thousand, twenty-five".