12816765162601 has 9 divisors (see below), whose sum is σ = 13121918804151. Its totient is φ = 12518550494352.

The previous prime is 12816765162541. The next prime is 12816765162647. The reversal of 12816765162601 is 10626156761821.

The square root of 12816765162601 is 3580051.

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., 11265186013225 + 1551579149376 = 3356365^2 + 1245624^2 .

It is not a de Polignac number, because 12816765162601 - 2¹⁷ = 12816765031529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12816765162701) 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 8 ways as a sum of consecutive naturals, for example, 153900565 + ... + 153983821.

It is an arithmetic number, because the mean of its divisors is an integer number (1457990978239).

Almost surely, 2^{12816765162601} is an apocalyptic number.

12816765162601 is the 3580051-st square number.

12816765162601 is the 1790026-th centered octagonal number.

It is an amenable number.

12816765162601 is a deficient number, since it is larger than the sum of its proper divisors (305153641550).

12816765162601 is an frugal number, since it uses more digits than its factorization.

12816765162601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166600 (or 83300 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 12816765162601 in words is "twelve trillion, eight hundred sixteen billion, seven hundred sixty-five million, one hundred sixty-two thousand, six hundred one".