13509913 has 2 divisors, whose sum is σ = 13509914. Its totient is φ = 13509912.

The previous prime is 13509889. The next prime is 13509919. The reversal of 13509913 is 31990531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12369289 + 1140624 = 3517^2 + 1068^2 .

It is a cyclic number.

It is not a de Polignac number, because 13509913 - 2⁹ = 13509401 is a prime.

It is not a weakly prime, because it can be changed into another prime (13509919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6754956 + 6754957.

It is an arithmetic number, because the mean of its divisors is an integer number (6754957).

Almost surely, 2^13509913 is an apocalyptic number.

It is an amenable number.

13509913 is a deficient number, since it is larger than the sum of its proper divisors (1).

13509913 is an equidigital number, since it uses as much as digits as its factorization.

13509913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3645, while the sum is 31.

The square root of 13509913 is about 3675.5833550608. The cubic root of 13509913 is about 238.1684246715.

The spelling of 13509913 in words is "thirteen million, five hundred nine thousand, nine hundred thirteen".