972263388161 has 8 divisors (see below), whose sum is σ = 1047130806120. Its totient is φ = 897407102592.

The previous prime is 972263388157. The next prime is 972263388163. The reversal of 972263388161 is 161883362279.

972263388161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 78635376400 + 893628011761 = 280420^2 + 945319^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 972263388161 - 2² = 972263388157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 972263388097 and 972263388106.

It is not an unprimeable number, because it can be changed into a prime (972263388163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2601260 + ... + 2951453.

It is an arithmetic number, because the mean of its divisors is an integer number (130891350765).

Almost surely, 2^972263388161 is an apocalyptic number.

It is an amenable number.

972263388161 is a deficient number, since it is larger than the sum of its proper divisors (74867417959).

972263388161 is a wasteful number, since it uses less digits than its factorization.

972263388161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5566195.

The product of its digits is 5225472, while the sum is 56.

The spelling of 972263388161 in words is "nine hundred seventy-two billion, two hundred sixty-three million, three hundred eighty-eight thousand, one hundred sixty-one".