972000000000001 has 4 divisors (see below), whose sum is σ = 1110857142857152. Its totient is φ = 833142857142852.

The previous prime is 971999999999999. The next prime is 972000000000079. The reversal of 972000000000001 is 100000000000279.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 972000000000001 - 2¹ = 971999999999999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972000000030001) 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, 69428571428565 + ... + 69428571428578.

It is an arithmetic number, because the mean of its divisors is an integer number (277714285714288).

Almost surely, 2^{972000000000001} is an apocalyptic number.

It is an amenable number.

972000000000001 is a deficient number, since it is larger than the sum of its proper divisors (138857142857151).

972000000000001 is a wasteful number, since it uses less digits than its factorization.

972000000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138857142857150.

The product of its (nonzero) digits is 126, while the sum is 19.

The spelling of 972000000000001 in words is "nine hundred seventy-two trillion, one", and thus it is an aban number.