331632015625 has 63 divisors (see below), whose sum is σ = 441984401121. Its totient is φ = 248778000000.

The previous prime is 331632015619. The next prime is 331632015643. The reversal of 331632015625 is 526510236133.

The square root of 331632015625 is 575875.

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 326037574009 + 5594441616 = 570997^2 + 74796^2 .

It is not a de Polignac number, because 331632015625 - 2⁵ = 331632015593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1223734240 + ... + 1223734510.

Almost surely, 2^331632015625 is an apocalyptic number.

331632015625 is the 575875-th square number.

331632015625 is the 287938-th centered octagonal number.

It is an amenable number.

331632015625 is a deficient number, since it is larger than the sum of its proper divisors (110352385496).

331632015625 is an frugal number, since it uses more digits than its factorization.

331632015625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

The spelling of 331632015625 in words is "three hundred thirty-one billion, six hundred thirty-two million, fifteen thousand, six hundred twenty-five".