257500428025 has 9 divisors (see below), whose sum is σ = 319303676941. Its totient is φ = 205998312640.

The previous prime is 257500428011. The next prime is 257500428041. The reversal of 257500428025 is 520824005752.

The square root of 257500428025 is 507445.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 852815209 + 256647612816 = 29203^2 + 506604^2 .

It is not a de Polignac number, because 257500428025 - 2²⁵ = 257466873593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2486481 + ... + 2587969.

Almost surely, 2^257500428025 is an apocalyptic number.

257500428025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

257500428025 is the 507445-th square number.

257500428025 is the 253723-rd centered octagonal number.

It is an amenable number.

257500428025 is a deficient number, since it is larger than the sum of its proper divisors (61803248916).

257500428025 is an frugal number, since it uses more digits than its factorization.

257500428025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202988 (or 101494 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 40.

The spelling of 257500428025 in words is "two hundred fifty-seven billion, five hundred million, four hundred twenty-eight thousand, twenty-five".