6331136630625 has 225 divisors, whose sum is σ = 12102797786079. Its totient is φ = 3297195720000.

The previous prime is 6331136630603. The next prime is 6331136630701. The reversal of 6331136630625 is 5260366311336.

The square root of 6331136630625 is 2516175.

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

6331136630625 is a `hidden beast` number, since 6 + 3 + 3 + 1 + 1 + 3 + 6 + 630 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 3513049221969 + 2818087408656 = 1874313^2 + 1678716^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 6331136630625 - 2⁵ = 6331136630593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 30005386770 + ... + 30005386980.

Almost surely, 2^{6331136630625} is an apocalyptic number.

6331136630625 is the 2516175-th square number.

6331136630625 is the 1258088-th centered octagonal number.

It is an amenable number.

6331136630625 is a deficient number, since it is larger than the sum of its proper divisors (5771661155454).

6331136630625 is an frugal number, since it uses more digits than its factorization.

6331136630625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The spelling of 6331136630625 in words is "six trillion, three hundred thirty-one billion, one hundred thirty-six million, six hundred thirty thousand, six hundred twenty-five".