263553890625 has 105 divisors (see below), whose sum is σ = 489073290563. Its totient is φ = 136763100000.

The previous prime is 263553890603. The next prime is 263553890627. The reversal of 263553890625 is 526098355362.

The square root of 263553890625 is 513375.

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

263553890625 is a `hidden beast` number, since 2 + 6 + 3 + 5 + 5 + 3 + 8 + 9 + 0 + 625 = 666.

It can be written as a sum of positive squares in 17 ways, for example, as 240404876721 + 23149013904 = 490311^2 + 152148^2 .

It is not a de Polignac number, because 263553890625 - 2⁷ = 263553890497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (263553890627) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 7123078107 + ... + 7123078143.

Almost surely, 2^263553890625 is an apocalyptic number.

263553890625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

263553890625 is the 513375-th square number.

263553890625 is the 256688-th centered octagonal number.

It is an amenable number.

263553890625 is a deficient number, since it is larger than the sum of its proper divisors (225519399938).

263553890625 is an frugal number, since it uses more digits than its factorization.

263553890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 263553890625 in words is "two hundred sixty-three billion, five hundred fifty-three million, eight hundred ninety thousand, six hundred twenty-five".