13009585 has 8 divisors (see below), whose sum is σ = 16433280. Its totient is φ = 9859824.

The previous prime is 13009571. The next prime is 13009589. The reversal of 13009585 is 58590031.

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

It is a cyclic number.

It is not a de Polignac number, because 13009585 - 2²³ = 4620977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13009589) 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, 68377 + ... + 68566.

It is an arithmetic number, because the mean of its divisors is an integer number (2054160).

Almost surely, 2^13009585 is an apocalyptic number.

It is an amenable number.

13009585 is a deficient number, since it is larger than the sum of its proper divisors (3423695).

13009585 is a wasteful number, since it uses less digits than its factorization.

13009585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136967.

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 13009585 is about 3606.8802308921. The cubic root of 13009585 is about 235.1912431470.

The spelling of 13009585 in words is "thirteen million, nine thousand, five hundred eighty-five".