2931762393121 has 9 divisors (see below), whose sum is σ = 2982398266483. Its totient is φ = 2881972195240.

The previous prime is 2931762393097. The next prime is 2931762393149. The reversal of 2931762393121 is 1213932671392.

The square root of 2931762393121 is 1712239.

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

It can be written as a sum of positive squares in only one way, i.e., 2883071557521 + 48690835600 = 1697961^2 + 220660^2 .

It is not a de Polignac number, because 2931762393121 - 2²⁹ = 2931225522209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2931762393181) 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, 101007591 + ... + 101036611.

Almost surely, 2^{2931762393121} is an apocalyptic number.

2931762393121 is the 1712239-th square number.

2931762393121 is the 856120-th centered octagonal number.

It is an amenable number.

2931762393121 is a deficient number, since it is larger than the sum of its proper divisors (50635873362).

2931762393121 is an frugal number, since it uses more digits than its factorization.

2931762393121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58160 (or 29080 counting only the distinct ones).

The product of its digits is 734832, while the sum is 49.

Multiplying 2931762393121 by its sum of digits (49), we get a square (143656357262929 = 11985673²).

The spelling of 2931762393121 in words is "two trillion, nine hundred thirty-one billion, seven hundred sixty-two million, three hundred ninety-three thousand, one hundred twenty-one".