13132585 has 8 divisors (see below), whose sum is σ = 16686216. Its totient is φ = 9888000.

The previous prime is 13132583. The next prime is 13132589. The reversal of 13132585 is 58523131.

13132585 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5934096 + 7198489 = 2436^2 + 2683^2 .

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

It is not a de Polignac number, because 13132585 - 2¹ = 13132583 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13132583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77166 + ... + 77335.

It is an arithmetic number, because the mean of its divisors is an integer number (2085777).

Almost surely, 2^13132585 is an apocalyptic number.

It is an amenable number.

13132585 is a deficient number, since it is larger than the sum of its proper divisors (3553631).

13132585 is a wasteful number, since it uses less digits than its factorization.

13132585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154523.

The product of its digits is 3600, while the sum is 28.

The square root of 13132585 is about 3623.8908648026. The cubic root of 13132585 is about 235.9301298957.

The spelling of 13132585 in words is "thirteen million, one hundred thirty-two thousand, five hundred eighty-five".