13262947599889 has 27 divisors (see below), whose sum is σ = 14416666174323. Its totient is φ = 12196003427712.

The previous prime is 13262947599809. The next prime is 13262947599919. The reversal of 13262947599889 is 98899574926231.

The square root of 13262947599889 is 3641833.

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

It can be written as a sum of positive squares in 13 ways, for example, as 13187538046225 + 75409553664 = 3631465^2 + 274608^2 .

It is not a de Polignac number, because 13262947599889 - 2¹¹ = 13262947597841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13262947599809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21636129547 + ... + 21636130159.

It is an arithmetic number, because the mean of its divisors is an integer number (533950599049).

Almost surely, 2^{13262947599889} is an apocalyptic number.

13262947599889 is the 3641833-rd square number.

13262947599889 is the 1820917-th centered octagonal number.

It is an amenable number.

13262947599889 is a deficient number, since it is larger than the sum of its proper divisors (1153718574434).

13262947599889 is an frugal number, since it uses more digits than its factorization.

13262947599889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 1083 counting only the distinct ones).

The product of its digits is 4232632320, while the sum is 82.

The spelling of 13262947599889 in words is "thirteen trillion, two hundred sixty-two billion, nine hundred forty-seven million, five hundred ninety-nine thousand, eight hundred eighty-nine".