972201013 has 12 divisors (see below), whose sum is σ = 1167411072. Its totient is φ = 806432760.

The previous prime is 972200921. The next prime is 972201019. The reversal of 972201013 is 310102279.

It is not a de Polignac number, because 972201013 - 2²⁵ = 938646581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972201019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318495 + ... + 321532.

It is an arithmetic number, because the mean of its divisors is an integer number (97284256).

Almost surely, 2^972201013 is an apocalyptic number.

It is an amenable number.

972201013 is a deficient number, since it is larger than the sum of its proper divisors (195210059).

972201013 is a wasteful number, since it uses less digits than its factorization.

972201013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640072 (or 640065 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 972201013 is about 31180.1381170770. The cubic root of 972201013 is about 990.6464549722.

The spelling of 972201013 in words is "nine hundred seventy-two million, two hundred one thousand, thirteen".