93181972792561 has 9 divisors (see below), whose sum is σ = 95510541967329. Its totient is φ = 90908855625600.

The previous prime is 93181972792549. The next prime is 93181972792567. The reversal of 93181972792561 is 16529727918139.

The square root of 93181972792561 is 9653081.

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

It can be written as a sum of positive squares in 4 ways, for example, as 487439952561 + 92694532840000 = 698169^2 + 9627800^2 .

It is not a de Polignac number, because 93181972792561 - 2²³ = 93181964403953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93181972792567) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 395658601 + ... + 395894041.

Almost surely, 2^{93181972792561} is an apocalyptic number.

93181972792561 is the 9653081-st square number.

93181972792561 is the 4826541-st centered octagonal number.

It is an amenable number.

93181972792561 is a deficient number, since it is larger than the sum of its proper divisors (2328569174768).

93181972792561 is an frugal number, since it uses more digits than its factorization.

93181972792561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470964 (or 235482 counting only the distinct ones).

The product of its digits is 102876480, while the sum is 70.

The spelling of 93181972792561 in words is "ninety-three trillion, one hundred eighty-one billion, nine hundred seventy-two million, seven hundred ninety-two thousand, five hundred sixty-one".