972588568601 has 4 divisors (see below), whose sum is σ = 1047403073892. Its totient is φ = 897774063312.

The previous prime is 972588568561. The next prime is 972588568657. The reversal of 972588568601 is 106865885279.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 646834147600 + 325754421001 = 804260^2 + 570749^2 .

It is a cyclic number.

It is not a de Polignac number, because 972588568601 - 2¹⁴ = 972588552217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972588568801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37407252626 + ... + 37407252651.

It is an arithmetic number, because the mean of its divisors is an integer number (261850768473).

Almost surely, 2^972588568601 is an apocalyptic number.

It is an amenable number.

972588568601 is a deficient number, since it is larger than the sum of its proper divisors (74814505291).

972588568601 is a wasteful number, since it uses less digits than its factorization.

972588568601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74814505290.

The product of its (nonzero) digits is 58060800, while the sum is 65.

The spelling of 972588568601 in words is "nine hundred seventy-two billion, five hundred eighty-eight million, five hundred sixty-eight thousand, six hundred one".