9972512317151 has 16 divisors (see below), whose sum is σ = 10351347242400. Its totient is φ = 9599668807680.

The previous prime is 9972512317129. The next prime is 9972512317181. The reversal of 9972512317151 is 1517132152799.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 9972512317151 - 2¹⁴ = 9972512300767 is a prime.

It is a super-3 number, since 3×9972512317151³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9972512317093 and 9972512317102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972512317181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1357775 + ... + 4667823.

It is an arithmetic number, because the mean of its divisors is an integer number (646959202650).

Almost surely, 2^{9972512317151} is an apocalyptic number.

9972512317151 is a deficient number, since it is larger than the sum of its proper divisors (378834925249).

9972512317151 is a wasteful number, since it uses less digits than its factorization.

9972512317151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310954.

The product of its digits is 1190700, while the sum is 53.

The spelling of 9972512317151 in words is "nine trillion, nine hundred seventy-two billion, five hundred twelve million, three hundred seventeen thousand, one hundred fifty-one".