91310924705625 has 135 divisors (see below), whose sum is σ = 168793182014457. Its totient is φ = 47550567708000.

The previous prime is 91310924705603. The next prime is 91310924705647. The reversal of 91310924705625 is 52650742901319.

The square root of 91310924705625 is 9555675.

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

91310924705625 is a `hidden beast` number, since 9 + 1 + 3 + 1 + 0 + 9 + 2 + 4 + 7 + 0 + 5 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (91310924705603) and next prime (91310924705647).

It can be written as a sum of positive squares in 2 ways, for example, as 7158776496921 + 84152148208704 = 2675589^2 + 9173448^2 .

It is not a de Polignac number, because 91310924705625 - 2¹⁷ = 91310924574553 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 30817050394 + ... + 30817053356.

Almost surely, 2^{91310924705625} is an apocalyptic number.

91310924705625 is the 9555675-th square number.

91310924705625 is the 4777838-th centered octagonal number.

It is an amenable number.

91310924705625 is a deficient number, since it is larger than the sum of its proper divisors (77482257308832).

91310924705625 is an frugal number, since it uses more digits than its factorization.

91310924705625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6038 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 91310924705625 in words is "ninety-one trillion, three hundred ten billion, nine hundred twenty-four million, seven hundred five thousand, six hundred twenty-five".