13439534004009 has 135 divisors (see below), whose sum is σ = 21032871598431. Its totient is φ = 8552037801600.

The previous prime is 13439534003989. The next prime is 13439534004011. The reversal of 13439534004009 is 90040043593431.

It is a happy number.

The square root of 13439534004009 is 3665997.

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 2630089280025 + 10809444723984 = 1621755^2 + 3287772^2 .

It is not a de Polignac number, because 13439534004009 - 2¹⁹ = 13439533479721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13439534004019) 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, 123298477047 + ... + 123298477155.

Almost surely, 2^{13439534004009} is an apocalyptic number.

13439534004009 is the 3665997-th square number.

13439534004009 is the 1832999-th centered octagonal number.

It is an amenable number.

13439534004009 is a deficient number, since it is larger than the sum of its proper divisors (7593337594422).

13439534004009 is an frugal number, since it uses more digits than its factorization.

13439534004009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 13439534004009 in words is "thirteen trillion, four hundred thirty-nine billion, five hundred thirty-four million, four thousand, nine".