13072509 has 20 divisors (see below), whose sum is σ = 19650400. Its totient is φ = 8660520.

The previous prime is 13072457. The next prime is 13072517. The reversal of 13072509 is 90527031.

It is not a de Polignac number, because 13072509 - 2⁸ = 13072253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13072519) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15714 + ... + 16524.

It is an arithmetic number, because the mean of its divisors is an integer number (982520).

Almost surely, 2^13072509 is an apocalyptic number.

It is an amenable number.

13072509 is a deficient number, since it is larger than the sum of its proper divisors (6577891).

13072509 is an equidigital number, since it uses as much as digits as its factorization.

13072509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 13072509 is about 3615.5924825677. The cubic root of 13072509 is about 235.5698198596.

The spelling of 13072509 in words is "thirteen million, seventy-two thousand, five hundred nine".