36832902561 has 243 divisors, whose sum is σ = 72692293401. Its totient is φ = 17908345728.

The previous prime is 36832902553. The next prime is 36832902677. The reversal of 36832902561 is 16520923863.

The square root of 36832902561 is 191919.

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

36832902561 is a `hidden beast` number, since 3 + 6 + 83 + 2 + 9 + 0 + 2 + 561 = 666.

36832902561 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 4 ways, for example, as 152992161 + 36679910400 = 12369^2 + 191520^2 .

It is not a de Polignac number, because 36832902561 - 2³ = 36832902553 is a prime.

It is a super-2 number, since 2×36832902561² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36832902551) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 995483835 + ... + 995483871.

Almost surely, 2^36832902561 is an apocalyptic number.

36832902561 is the 191919-th square number.

36832902561 is the 95960-th centered octagonal number.

It is an amenable number.

36832902561 is a deficient number, since it is larger than the sum of its proper divisors (35859390840).

36832902561 is a wasteful number, since it uses less digits than its factorization.

36832902561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 36832902561 in words is "thirty-six billion, eight hundred thirty-two million, nine hundred two thousand, five hundred sixty-one".