13001585 has 4 divisors (see below), whose sum is σ = 15601908. Its totient is φ = 10401264.

The previous prime is 13001557. The next prime is 13001603. The reversal of 13001585 is 58510031.

13001585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4293184 + 8708401 = 2072^2 + 2951^2 .

It is a cyclic number.

It is not a de Polignac number, because 13001585 - 2¹² = 12997489 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13001585.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1300154 + ... + 1300163.

It is an arithmetic number, because the mean of its divisors is an integer number (3900477).

Almost surely, 2^13001585 is an apocalyptic number.

It is an amenable number.

13001585 is a deficient number, since it is larger than the sum of its proper divisors (2600323).

13001585 is an equidigital number, since it uses as much as digits as its factorization.

13001585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600322.

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 13001585 is about 3605.7710687175. The cubic root of 13001585 is about 235.1430244491.

The spelling of 13001585 in words is "thirteen million, one thousand, five hundred eighty-five".