13502009042009 has 2 divisors, whose sum is σ = 13502009042010. Its totient is φ = 13502009042008.

The previous prime is 13502009041967. The next prime is 13502009042077. The reversal of 13502009042009 is 90024090020531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10201348542025 + 3300660499984 = 3193955^2 + 1816772^2 .

It is a cyclic number.

It is not a de Polignac number, because 13502009042009 - 2²⁸ = 13501740606553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13502009042009.

It is not a weakly prime, because it can be changed into another prime (13502009072009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6751004521004 + 6751004521005.

It is an arithmetic number, because the mean of its divisors is an integer number (6751004521005).

Almost surely, 2^{13502009042009} is an apocalyptic number.

It is an amenable number.

13502009042009 is a deficient number, since it is larger than the sum of its proper divisors (1).

13502009042009 is an equidigital number, since it uses as much as digits as its factorization.

13502009042009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 13502009042009 in words is "thirteen trillion, five hundred two billion, nine million, forty-two thousand, nine".