972629795151 has 12 divisors (see below), whose sum is σ = 1605611090512. Its totient is φ = 555788454336.

The previous prime is 972629795147. The next prime is 972629795191. The reversal of 972629795151 is 151597926279.

972629795151 is a `hidden beast` number, since 9 + 7 + 26 + 2 + 97 + 9 + 515 + 1 = 666.

It is not a de Polignac number, because 972629795151 - 2² = 972629795147 is a prime.

It is a super-2 number, since 2×972629795151² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63), and also a Moran number because the ratio is a prime number: 15438568177 = 972629795151 / (9 + 7 + 2 + 6 + 2 + 9 + 7 + 9 + 5 + 1 + 5 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972629795101) 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 11 ways as a sum of consecutive naturals, for example, 7719284026 + ... + 7719284151.

Almost surely, 2^972629795151 is an apocalyptic number.

972629795151 is a deficient number, since it is larger than the sum of its proper divisors (632981295361).

972629795151 is a wasteful number, since it uses less digits than its factorization.

972629795151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15438568190 (or 15438568187 counting only the distinct ones).

The product of its digits is 21432600, while the sum is 63.

The spelling of 972629795151 in words is "nine hundred seventy-two billion, six hundred twenty-nine million, seven hundred ninety-five thousand, one hundred fifty-one".