6523631361 has 81 divisors (see below), whose sum is σ = 10868630409. Its totient is φ = 3768358464.

The previous prime is 6523631341. The next prime is 6523631371. The reversal of 6523631361 is 1631363256.

The square root of 6523631361 is 80769.

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

6523631361 is a `hidden beast` number, since 6 + 523 + 63 + 13 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 228161025 + 6295470336 = 15105^2 + 79344^2 .

It is not a de Polignac number, because 6523631361 - 2¹⁷ = 6523500289 is a prime.

It is a super-2 number, since 2×6523631361² = 85115532268445424642, which contains 22 as substring.

Its product of digits (58320) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (6523631341) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 59849775 + ... + 59849883.

Almost surely, 2^6523631361 is an apocalyptic number.

6523631361 is the 80769-th square number.

6523631361 is the 40385-th centered octagonal number.

It is an amenable number.

6523631361 is a deficient number, since it is larger than the sum of its proper divisors (4344999048).

6523631361 is a wasteful number, since it uses less digits than its factorization.

6523631361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 144 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The cubic root of 6523631361 is about 1868.5144923128.

Multiplying 6523631361 by its sum of digits (36), we get a square (234850728996 = 484614²).

The spelling of 6523631361 in words is "six billion, five hundred twenty-three million, six hundred thirty-one thousand, three hundred sixty-one".