9972566095969 has 15 divisors (see below), whose sum is σ = 10618331279635. Its totient is φ = 9364167427360.

The previous prime is 9972566095909. The next prime is 9972566096011. The reversal of 9972566095969 is 9695906652799.

The square root of 9972566095969 is 3157937.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7764108552225 + 2208457543744 = 2786415^2 + 1486088^2 .

It is not a de Polignac number, because 9972566095969 - 2²³ = 9972557707361 is a prime.

It is a super-2 number, since 2×9972566095969² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9972566095892 and 9972566095901.

It is not an unprimeable number, because it can be changed into a prime (9972566095909) 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 14 ways as a sum of consecutive naturals, for example, 23138204184 + ... + 23138204614.

Almost surely, 2^{9972566095969} is an apocalyptic number.

9972566095969 is the 3157937-th square number.

9972566095969 is the 1578969-th centered octagonal number.

It is an amenable number.

9972566095969 is a deficient number, since it is larger than the sum of its proper divisors (645765183666).

9972566095969 is an frugal number, since it uses more digits than its factorization.

9972566095969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 4464104400, while the sum is 82.

The spelling of 9972566095969 in words is "nine trillion, nine hundred seventy-two billion, five hundred sixty-six million, ninety-five thousand, nine hundred sixty-nine".