93712515625 has 63 divisors (see below), whose sum is σ = 122591262843. Its totient is φ = 71633250000.

The previous prime is 93712515593. The next prime is 93712515671. The reversal of 93712515625 is 52651521739.

The square root of 93712515625 is 306125.

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

It can be written as a sum of positive squares in 3 ways, for example, as 82101160089 + 11611355536 = 286533^2 + 107756^2 .

It is not a de Polignac number, because 93712515625 - 2⁵ = 93712515593 is a prime.

It is a Duffinian number.

Its product of digits (567000) is a multiple of the sum of its prime factors (250).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1186234336 + ... + 1186234414.

It is an arithmetic number, because the mean of its divisors is an integer number (1945893061).

Almost surely, 2^93712515625 is an apocalyptic number.

93712515625 is the 306125-th square number.

93712515625 is the 153063-rd centered octagonal number.

It is an amenable number.

93712515625 is a deficient number, since it is larger than the sum of its proper divisors (28878747218).

93712515625 is an frugal number, since it uses more digits than its factorization.

93712515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 115 counting only the distinct ones).

The product of its digits is 567000, while the sum is 46.

The spelling of 93712515625 in words is "ninety-three billion, seven hundred twelve million, five hundred fifteen thousand, six hundred twenty-five".