11180764375225 has 27 divisors (see below), whose sum is σ = 14058203870919. Its totient is φ = 8821119571200.

The previous prime is 11180764375213. The next prime is 11180764375259. The reversal of 11180764375225 is 52257346708111.

The square root of 11180764375225 is 3343765.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8211222063529 + 2969542311696 = 2865523^2 + 1723236^2 .

It is a de Polignac number, because none of the positive numbers 2^k-11180764375225 is a prime.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 1220469645 + ... + 1220478805.

Almost surely, 2^{11180764375225} is an apocalyptic number.

11180764375225 is the 3343765-th square number.

11180764375225 is the 1671883-rd centered octagonal number.

It is an amenable number.

11180764375225 is a deficient number, since it is larger than the sum of its proper divisors (2877439495694).

11180764375225 is an frugal number, since it uses more digits than its factorization.

11180764375225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18478 (or 9239 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 52.

The spelling of 11180764375225 in words is "eleven trillion, one hundred eighty billion, seven hundred sixty-four million, three hundred seventy-five thousand, two hundred twenty-five".