972561165279 has 32 divisors (see below), whose sum is σ = 1422179700480. Its totient is φ = 586288684800.

The previous prime is 972561165239. The next prime is 972561165281.

It is a happy number.

972561165279 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 972561165279 - 2¹⁹ = 972560640991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972561165239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28645944 + ... + 28679874.

It is an arithmetic number, because the mean of its divisors is an integer number (44443115640).

Almost surely, 2^972561165279 is an apocalyptic number.

972561165279 is a deficient number, since it is larger than the sum of its proper divisors (449618535201).

972561165279 is a wasteful number, since it uses less digits than its factorization.

972561165279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38551.

The product of its digits is 14288400, while the sum is 60.

The spelling of 972561165279 in words is "nine hundred seventy-two billion, five hundred sixty-one million, one hundred sixty-five thousand, two hundred seventy-nine".