13180509 has 16 divisors (see below), whose sum is σ = 20555200. Its totient is φ = 8324208.

The previous prime is 13180501. The next prime is 13180523. The reversal of 13180509 is 90508131.

It is not a de Polignac number, because 13180509 - 2³ = 13180501 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 (13180501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12334 + ... + 13359.

It is an arithmetic number, because the mean of its divisors is an integer number (1284700).

Almost surely, 2^13180509 is an apocalyptic number.

13180509 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

13180509 is a deficient number, since it is larger than the sum of its proper divisors (7374691).

13180509 is a wasteful number, since it uses less digits than its factorization.

13180509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25721 (or 25715 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 13180509 is about 3630.4970734047. The cubic root of 13180509 is about 236.2167703326.

It can be divided in two parts, 13180 and 509, that added together give a square (13689 = 117²).

The spelling of 13180509 in words is "thirteen million, one hundred eighty thousand, five hundred nine".