36223605625 has 45 divisors (see below), whose sum is σ = 47462017449. Its totient is φ = 27635190000.

The previous prime is 36223605577. The next prime is 36223605641. The reversal of 36223605625 is 52650632263.

It is a happy number.

The square root of 36223605625 is 190325.

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

It can be written as a sum of positive squares in 2 ways, for example, as 2839930681 + 33383674944 = 53291^2 + 182712^2 .

It is a de Polignac number, because none of the positive numbers 2^k-36223605625 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 (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 109436710 + ... + 109437040.

Almost surely, 2^36223605625 is an apocalyptic number.

36223605625 is the 190325-th square number.

36223605625 is the 95163-rd centered octagonal number.

It is an amenable number.

36223605625 is a deficient number, since it is larger than the sum of its proper divisors (11238411824).

36223605625 is an frugal number, since it uses more digits than its factorization.

36223605625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 40.

The spelling of 36223605625 in words is "thirty-six billion, two hundred twenty-three million, six hundred five thousand, six hundred twenty-five".