9966512997 has 32 divisors (see below), whose sum is σ = 16881075200. Its totient is φ = 5692937904.

The previous prime is 9966512993. The next prime is 9966513013. The reversal of 9966512997 is 7992156699.

It is not a de Polignac number, because 9966512997 - 2² = 9966512993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9966512993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561858 + ... + 579324.

It is an arithmetic number, because the mean of its divisors is an integer number (527533600).

Almost surely, 2^9966512997 is an apocalyptic number.

9966512997 is the 81513-rd pentagonal number.

It is an amenable number.

9966512997 is a deficient number, since it is larger than the sum of its proper divisors (6914562203).

9966512997 is a wasteful number, since it uses less digits than its factorization.

9966512997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20502 (or 20496 counting only the distinct ones).

The product of its digits is 16533720, while the sum is 63.

The square root of 9966512997 is about 99832.4245773887. The cubic root of 9966512997 is about 2152.0271486195.

The spelling of 9966512997 in words is "nine billion, nine hundred sixty-six million, five hundred twelve thousand, nine hundred ninety-seven".