256010700625 has 45 divisors (see below), whose sum is σ = 329393075319. Its totient is φ = 198908892000.

The previous prime is 256010700613. The next prime is 256010700641. The reversal of 256010700625 is 526007010652.

The square root of 256010700625 is 505975.

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 85001985601 + 171008715024 = 291551^2 + 413532^2 .

It is not a de Polignac number, because 256010700625 - 2²³ = 256002312017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 468026602 + ... + 468027148.

Almost surely, 2^256010700625 is an apocalyptic number.

256010700625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

256010700625 is the 505975-th square number.

256010700625 is the 252988-th centered octagonal number.

It is an amenable number.

256010700625 is a deficient number, since it is larger than the sum of its proper divisors (73382374694).

256010700625 is an frugal number, since it uses more digits than its factorization.

256010700625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 256010700625 in words is "two hundred fifty-six billion, ten million, seven hundred thousand, six hundred twenty-five".