13509645329 has 2 divisors, whose sum is σ = 13509645330. Its totient is φ = 13509645328.

The previous prime is 13509645307. The next prime is 13509645343. The reversal of 13509645329 is 92354690531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12025315600 + 1484329729 = 109660^2 + 38527^2 .

It is a cyclic number.

It is not a de Polignac number, because 13509645329 - 2¹⁶ = 13509579793 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13509645349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6754822664 + 6754822665.

It is an arithmetic number, because the mean of its divisors is an integer number (6754822665).

Almost surely, 2^13509645329 is an apocalyptic number.

It is an amenable number.

13509645329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13509645329 is an equidigital number, since it uses as much as digits as its factorization.

13509645329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 874800, while the sum is 47.

The spelling of 13509645329 in words is "thirteen billion, five hundred nine million, six hundred forty-five thousand, three hundred twenty-nine".