36881754111225 has 243 divisors, whose sum is σ = 71637724021773. Its totient is φ = 18136317386880.

The previous prime is 36881754111193. The next prime is 36881754111269. The reversal of 36881754111225 is 52211145718863.

The square root of 36881754111225 is 6073035.

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

36881754111225 is a `hidden beast` number, since 3 + 6 + 8 + 81 + 7 + 541 + 1 + 12 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 506959664121 + 36374794447104 = 712011^2 + 6031152^2 .

It is not a de Polignac number, because 36881754111225 - 2⁵ = 36881754111193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 60760714872 + ... + 60760715478.

Almost surely, 2^{36881754111225} is an apocalyptic number.

36881754111225 is the 6073035-th square number.

36881754111225 is the 3036518-th centered octagonal number.

It is an amenable number.

36881754111225 is a deficient number, since it is larger than the sum of its proper divisors (34755969910548).

36881754111225 is an equidigital number, since it uses as much as digits as its factorization.

36881754111225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 667 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The spelling of 36881754111225 in words is "thirty-six trillion, eight hundred eighty-one billion, seven hundred fifty-four million, one hundred eleven thousand, two hundred twenty-five".