972747000881 has 2 divisors, whose sum is σ = 972747000882. Its totient is φ = 972747000880.

The previous prime is 972747000833. The next prime is 972747000913. The reversal of 972747000881 is 188000747279.

972747000881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 873972568225 + 98774432656 = 934865^2 + 314284^2 .

It is a cyclic number.

It is not a de Polignac number, because 972747000881 - 2¹⁰ = 972746999857 is a prime.

It is a super-2 number, since 2×972747000881² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (972747008881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486373500440 + 486373500441.

It is an arithmetic number, because the mean of its divisors is an integer number (486373500441).

Almost surely, 2^972747000881 is an apocalyptic number.

It is an amenable number.

972747000881 is a deficient number, since it is larger than the sum of its proper divisors (1).

972747000881 is an equidigital number, since it uses as much as digits as its factorization.

972747000881 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1580544, while the sum is 53.

The spelling of 972747000881 in words is "nine hundred seventy-two billion, seven hundred forty-seven million, eight hundred eighty-one", and thus it is an aban number.