256365005625 has 135 divisors (see below), whose sum is σ = 476781336603. Its totient is φ = 132697656000.

The previous prime is 256365005597. The next prime is 256365005651. The reversal of 256365005625 is 526500563652.

The square root of 256365005625 is 506325.

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

256365005625 is a `hidden beast` number, since 2 + 5 + 6 + 36 + 50 + 0 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 235639372329 + 20725633296 = 485427^2 + 143964^2 .

It is not a de Polignac number, because 256365005625 - 2¹⁹ = 256364481337 is a prime.

It is a super-2 number, since 2×256365005625² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1632898047 + ... + 1632898203.

Almost surely, 2^256365005625 is an apocalyptic number.

256365005625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

256365005625 is the 506325-th square number.

256365005625 is the 253163-rd centered octagonal number.

It is an amenable number.

256365005625 is a deficient number, since it is larger than the sum of its proper divisors (220416330978).

256365005625 is an frugal number, since it uses more digits than its factorization.

256365005625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 256365005625 in words is "two hundred fifty-six billion, three hundred sixty-five million, five thousand, six hundred twenty-five".