93982457747025 has 81 divisors (see below), whose sum is σ = 172003289719963. Its totient is φ = 49053942300000.

The previous prime is 93982457746987. The next prime is 93982457747099. The reversal of 93982457747025 is 52074775428939.

The square root of 93982457747025 is 9694455.

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

93982457747025 is a `hidden beast` number, since 9 + 3 + 9 + 8 + 2 + 4 + 577 + 47 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33833684788929 + 60148772958096 = 5816673^2 + 7755564^2 .

It is not a de Polignac number, because 93982457747025 - 2²⁹ = 93981920876113 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6834583900 + ... + 6834597650.

Almost surely, 2^{93982457747025} is an apocalyptic number.

93982457747025 is the 9694455-th square number.

93982457747025 is the 4847228-th centered octagonal number.

It is an amenable number.

93982457747025 is a deficient number, since it is larger than the sum of its proper divisors (78020831972938).

93982457747025 is an frugal number, since it uses more digits than its factorization.

93982457747025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27612 (or 13806 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 72.

The spelling of 93982457747025 in words is "ninety-three trillion, nine hundred eighty-two billion, four hundred fifty-seven million, seven hundred forty-seven thousand, twenty-five".