256263750625 has 15 divisors (see below), whose sum is σ = 320242998031. Its totient is φ = 205000876000.

The previous prime is 256263750461. The next prime is 256263750643. The reversal of 256263750625 is 526057362652.

The square root of 256263750625 is 506225.

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 235231790049 + 21031960576 = 485007^2 + 145024^2 .

It is not a de Polignac number, because 256263750625 - 2²⁵ = 256230196193 is a prime.

It is a super-2 number, since 2×256263750625² (a number of 24 digits) 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, 12645501 + ... + 12665749.

Almost surely, 2^256263750625 is an apocalyptic number.

256263750625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

256263750625 is the 506225-th square number.

256263750625 is the 253113-rd centered octagonal number.

It is an amenable number.

256263750625 is a deficient number, since it is larger than the sum of its proper divisors (63979247406).

256263750625 is an frugal number, since it uses more digits than its factorization.

256263750625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40518 (or 20254 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 49.

Multiplying 256263750625 by its sum of digits (49), we get a square (12556923780625 = 3543575²).

The spelling of 256263750625 in words is "two hundred fifty-six billion, two hundred sixty-three million, seven hundred fifty thousand, six hundred twenty-five".