13016242486809 has 135 divisors (see below), whose sum is σ = 21086321325069. Its totient is φ = 8000663932800.

The previous prime is 13016242486787. The next prime is 13016242486811. The reversal of 13016242486809 is 90868424261031.

The square root of 13016242486809 is 3607803.

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

13016242486809 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 62 + 424 + 86 + 80 + 9 = 666.

13016242486809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1964474150409 + 11051768336400 = 1401597^2 + 3324420^2 .

It is not a de Polignac number, because 13016242486809 - 2⁹ = 13016242486297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13016242486859) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 21657641109 + ... + 21657641709.

Almost surely, 2^{13016242486809} is an apocalyptic number.

13016242486809 is the 3607803-rd square number.

13016242486809 is the 1803902-nd centered octagonal number.

It is an amenable number.

13016242486809 is a deficient number, since it is larger than the sum of its proper divisors (8070078838260).

13016242486809 is an frugal number, since it uses more digits than its factorization.

13016242486809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 13016242486809 in words is "thirteen trillion, sixteen billion, two hundred forty-two million, four hundred eighty-six thousand, eight hundred nine".