36723903000625 has 45 divisors (see below), whose sum is σ = 46139344059501. Its totient is φ = 29220470946000.

The previous prime is 36723903000623. The next prime is 36723903000643. The reversal of 36723903000625 is 52600030932763.

It is a happy number.

The square root of 36723903000625 is 6060025.

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 2879153995249 + 33844749005376 = 1696807^2 + 5817624^2 .

It is not a de Polignac number, because 36723903000625 - 2¹ = 36723903000623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36723903000623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 33784638832 + ... + 33784639918.

Almost surely, 2^{36723903000625} is an apocalyptic number.

36723903000625 is the 6060025-th square number.

36723903000625 is the 3030013-rd centered octagonal number.

It is an amenable number.

36723903000625 is a deficient number, since it is larger than the sum of its proper divisors (9415441058876).

36723903000625 is an frugal number, since it uses more digits than its factorization.

36723903000625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 46.

The spelling of 36723903000625 in words is "thirty-six trillion, seven hundred twenty-three billion, nine hundred three million, six hundred twenty-five", and thus it is an aban number.