11810255625 has 315 divisors, whose sum is σ = 26907365793. Its totient is φ = 5164236000.

The previous prime is 11810255593. The next prime is 11810255627. The reversal of 11810255625 is 52655201811.

The square root of 11810255625 is 108675.

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

11810255625 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 0 + 25 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 925924041 + 10884331584 = 30429^2 + 104328^2 .

It is a tau number, because it is divible by the number of its divisors (315).

It is not a de Polignac number, because 11810255625 - 2⁵ = 11810255593 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11810255625.

It is not an unprimeable number, because it can be changed into a prime (11810255627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 513489364 + ... + 513489386.

Almost surely, 2^11810255625 is an apocalyptic number.

11810255625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11810255625 is the 108675-th square number.

11810255625 is the 54338-th centered octagonal number.

It is an amenable number.

11810255625 is an abundant number, since it is smaller than the sum of its proper divisors (15097110168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11810255625 is an frugal number, since it uses more digits than its factorization.

11810255625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

Multiplying 11810255625 by its sum of digits (36), we get a square (425169202500 = 652050²).

The spelling of 11810255625 in words is "eleven billion, eight hundred ten million, two hundred fifty-five thousand, six hundred twenty-five".