972564480001 has 8 divisors (see below), whose sum is σ = 977613917544. Its totient is φ = 967516179840.

The previous prime is 972564479993. The next prime is 972564480007. The reversal of 972564480001 is 100084465279.

It can be written as a sum of positive squares in 4 ways, for example, as 815320508401 + 157243971600 = 902951^2 + 396540^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 972564480001 - 2³ = 972564479993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972564480007) 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, 1457901 + ... + 2017573.

It is an arithmetic number, because the mean of its divisors is an integer number (122201739693).

Almost surely, 2^972564480001 is an apocalyptic number.

It is an amenable number.

972564480001 is a deficient number, since it is larger than the sum of its proper divisors (5049437543).

972564480001 is a wasteful number, since it uses less digits than its factorization.

972564480001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568691.

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 972564480001 in words is "nine hundred seventy-two billion, five hundred sixty-four million, four hundred eighty thousand, one".