32116582521 has 81 divisors (see below), whose sum is σ = 50200661199. Its totient is φ = 19784894400.

The previous prime is 32116582507. The next prime is 32116582541. The reversal of 32116582521 is 12528561123.

The square root of 32116582521 is 179211.

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

32116582521 is a `hidden beast` number, since 3 + 21 + 1 + 6 + 582 + 52 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1547556921 + 30569025600 = 39339^2 + 174840^2 .

It is not a de Polignac number, because 32116582521 - 2⁵ = 32116582489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32116582541) 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, 683331520 + ... + 683331566.

Almost surely, 2^32116582521 is an apocalyptic number.

32116582521 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

32116582521 is the 179211-st square number.

32116582521 is the 89606-th centered octagonal number.

It is an amenable number.

32116582521 is a deficient number, since it is larger than the sum of its proper divisors (18084078678).

32116582521 is an equidigital number, since it uses as much as digits as its factorization.

32116582521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 122 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

Multiplying 32116582521 by its sum of digits (36), we get a square (1156196970756 = 1075266²).

The spelling of 32116582521 in words is "thirty-two billion, one hundred sixteen million, five hundred eighty-two thousand, five hundred twenty-one".