13013509 has 2 divisors, whose sum is σ = 13013510. Its totient is φ = 13013508.

The previous prime is 13013467. The next prime is 13013513. The reversal of 13013509 is 90531031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8282884 + 4730625 = 2878^2 + 2175^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13013509 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13013509.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13013549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6506754 + 6506755.

It is an arithmetic number, because the mean of its divisors is an integer number (6506755).

Almost surely, 2^13013509 is an apocalyptic number.

It is an amenable number.

13013509 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013509 is an equidigital number, since it uses as much as digits as its factorization.

13013509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 405, while the sum is 22.

The square root of 13013509 is about 3607.4241502768. The cubic root of 13013509 is about 235.2148871926.

The spelling of 13013509 in words is "thirteen million, thirteen thousand, five hundred nine".