13813509 has 8 divisors (see below), whose sum is σ = 18499360. Its totient is φ = 9168336.

The previous prime is 13813487. The next prime is 13813517. The reversal of 13813509 is 90531831.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13813509 - 2⁵ = 13813477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13817509) 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 in 7 ways as a sum of consecutive naturals, for example, 9367 + ... + 10740.

It is an arithmetic number, because the mean of its divisors is an integer number (2312420).

Almost surely, 2^13813509 is an apocalyptic number.

It is an amenable number.

13813509 is a deficient number, since it is larger than the sum of its proper divisors (4685851).

13813509 is a wasteful number, since it uses less digits than its factorization.

13813509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20339.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 13813509 is about 3716.6529297205. The cubic root of 13813509 is about 239.9392728300.

The spelling of 13813509 in words is "thirteen million, eight hundred thirteen thousand, five hundred nine".