257054070025 has 27 divisors (see below), whose sum is σ = 329461614279. Its totient is φ = 198948762000.

The previous prime is 257054069939. The next prime is 257054070043. The reversal of 257054070025 is 520070450752.

The square root of 257054070025 is 507005.

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

It can be written as a sum of positive squares in only one way, i.e., 92539465209 + 164514604816 = 304203^2 + 405604^2 .

It is not a de Polignac number, because 257054070025 - 2⁹ = 257054069513 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 78584140 + ... + 78587410.

Almost surely, 2^257054070025 is an apocalyptic number.

257054070025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

257054070025 is the 507005-th square number.

257054070025 is the 253503-rd centered octagonal number.

It is an amenable number.

257054070025 is a deficient number, since it is larger than the sum of its proper divisors (72407544254).

257054070025 is an frugal number, since it uses more digits than its factorization.

257054070025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6614 (or 3307 counting only the distinct ones).

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

The spelling of 257054070025 in words is "two hundred fifty-seven billion, fifty-four million, seventy thousand, twenty-five".