263707925625 has 135 divisors (see below), whose sum is σ = 490818468283. Its totient is φ = 136392240000.

The previous prime is 263707925617. The next prime is 263707925647. The reversal of 263707925625 is 526529707362.

The square root of 263707925625 is 513525.

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

263707925625 is a `hidden beast` number, since 2 + 6 + 3 + 7 + 0 + 7 + 9 + 2 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 262679825529 + 1028100096 = 512523^2 + 32064^2 .

It is not a de Polignac number, because 263707925625 - 2³ = 263707925617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1579089292 + ... + 1579089458.

Almost surely, 2^263707925625 is an apocalyptic number.

263707925625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

263707925625 is the 513525-th square number.

263707925625 is the 256763-rd centered octagonal number.

It is an amenable number.

263707925625 is a deficient number, since it is larger than the sum of its proper divisors (227110542658).

263707925625 is an frugal number, since it uses more digits than its factorization.

263707925625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 263707925625 in words is "two hundred sixty-three billion, seven hundred seven million, nine hundred twenty-five thousand, six hundred twenty-five".