32987640625 has 21 divisors (see below), whose sum is σ = 41262421053. Its totient is φ = 26371950000.

The previous prime is 32987640617. The next prime is 32987640683. The reversal of 32987640625 is 52604678923.

The square root of 32987640625 is 181625.

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

It can be written as a sum of positive squares in 10 ways, for example, as 31658017329 + 1329623296 = 177927^2 + 36464^2 .

It is not a de Polignac number, because 32987640625 - 2³ = 32987640617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 22702399 + ... + 22703851.

It is an arithmetic number, because the mean of its divisors is an integer number (1964877193).

Almost surely, 2^32987640625 is an apocalyptic number.

32987640625 is the 181625-th square number.

32987640625 is the 90813-rd centered octagonal number.

It is an amenable number.

32987640625 is a deficient number, since it is larger than the sum of its proper divisors (8274780428).

32987640625 is an frugal number, since it uses more digits than its factorization.

32987640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 32987640625 in words is "thirty-two billion, nine hundred eighty-seven million, six hundred forty thousand, six hundred twenty-five".