36124704225 has 27 divisors (see below), whose sum is σ = 64708465939. Its totient is φ = 19264988400.

The previous prime is 36124704197. The next prime is 36124704233. The reversal of 36124704225 is 52240742163.

The square root of 36124704225 is 190065.

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

36124704225 is a `hidden beast` number, since 361 + 2 + 4 + 70 + 4 + 225 = 666.

36124704225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13004893521 + 23119810704 = 114039^2 + 152052^2 .

It is not a de Polignac number, because 36124704225 - 2⁵ = 36124704193 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36124704225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2844640 + ... + 2857310.

Almost surely, 2^36124704225 is an apocalyptic number.

36124704225 is the 190065-th square number.

36124704225 is the 95033-rd centered octagonal number.

It is an amenable number.

36124704225 is a deficient number, since it is larger than the sum of its proper divisors (28583761714).

36124704225 is an frugal number, since it uses more digits than its factorization.

36124704225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25358 (or 12679 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Multiplying 36124704225 by its sum of digits (36), we get a square (1300489352100 = 1140390²).

The spelling of 36124704225 in words is "thirty-six billion, one hundred twenty-four million, seven hundred four thousand, two hundred twenty-five".