972000000000081 has 40 divisors (see below), whose sum is σ = 1563700013696744. Its totient is φ = 598150898403840.

The previous prime is 972000000000079. The next prime is 972000000000143. The reversal of 972000000000081 is 180000000000279.

It can be written as a sum of positive squares in 4 ways, for example, as 42273611297856 + 929726388702225 = 6501816^2 + 30491415^2 .

It is not a de Polignac number, because 972000000000081 - 2¹ = 972000000000079 is a prime.

It is a super-2 number, since 2×972000000000081² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 971999999999964 and 972000000000054.

It is not an unprimeable number, because it can be changed into a prime (972000000007081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 221995635 + ... + 226331751.

Almost surely, 2^{972000000000081} is an apocalyptic number.

It is an amenable number.

972000000000081 is a deficient number, since it is larger than the sum of its proper divisors (591700013696663).

972000000000081 is a wasteful number, since it uses less digits than its factorization.

972000000000081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4549023 (or 4549014 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 972000000000081 in words is "nine hundred seventy-two trillion, eighty-one", and thus it is an aban number.