13107274437609 has 81 divisors (see below), whose sum is σ = 21509390346717. Its totient is φ = 7685378751600.

The previous prime is 13107274437571. The next prime is 13107274437623. The reversal of 13107274437609 is 90673447270131.

It is a happy number.

The square root of 13107274437609 is 3620397.

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

13107274437609 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 7 + 27 + 4 + 4 + 3 + 7 + 609 = 666.

It is not a de Polignac number, because 13107274437609 - 2¹¹ = 13107274435561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13107274437679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3703664362 + ... + 3703667900.

Almost surely, 2^{13107274437609} is an apocalyptic number.

13107274437609 is the 3620397-th square number.

13107274437609 is the 1810199-th centered octagonal number.

It is an amenable number.

13107274437609 is a deficient number, since it is larger than the sum of its proper divisors (8402115909108).

13107274437609 is an frugal number, since it uses more digits than its factorization.

13107274437609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7168 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 13107274437609 in words is "thirteen trillion, one hundred seven billion, two hundred seventy-four million, four hundred thirty-seven thousand, six hundred nine".