13180585 has 16 divisors (see below), whose sum is σ = 18164160. Its totient is φ = 9080640.

The previous prime is 13180571. The next prime is 13180589. The reversal of 13180585 is 58508131.

13180585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13180585 - 2¹⁹ = 12656297 is a prime.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (13180589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5262 + ... + 7351.

It is an arithmetic number, because the mean of its divisors is an integer number (1135260).

Almost surely, 2^13180585 is an apocalyptic number.

It is an amenable number.

13180585 is a deficient number, since it is larger than the sum of its proper divisors (4983575).

13180585 is a wasteful number, since it uses less digits than its factorization.

13180585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12648.

The product of its (nonzero) digits is 4800, while the sum is 31.

The square root of 13180585 is about 3630.5075402759. The cubic root of 13180585 is about 236.2172243474.

The spelling of 13180585 in words is "thirteen million, one hundred eighty thousand, five hundred eighty-five".