256800625 has 15 divisors (see below), whose sum is σ = 321399463. Its totient is φ = 205120000.

The previous prime is 256800617. The next prime is 256800647. The reversal of 256800625 is 526008652.

The square root of 256800625 is 16025.

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

It can be written as a sum of positive squares in 7 ways, for example, as 82137969 + 174662656 = 9063^2 + 13216^2 .

It is not a de Polignac number, because 256800625 - 2³ = 256800617 is a prime.

It is a super-2 number, since 2×256800625² = 131893122000781250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 400305 + ... + 400945.

Almost surely, 2^256800625 is an apocalyptic number.

256800625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

256800625 is the 16025-th square number.

256800625 is the 8013-rd centered octagonal number.

It is an amenable number.

256800625 is a deficient number, since it is larger than the sum of its proper divisors (64598838).

256800625 is an frugal number, since it uses more digits than its factorization.

256800625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The cubic root of 256800625 is about 635.6216657677.

The spelling of 256800625 in words is "two hundred fifty-six million, eight hundred thousand, six hundred twenty-five".