13135585 has 4 divisors (see below), whose sum is σ = 15762708. Its totient is φ = 10508464.

The previous prime is 13135541. The next prime is 13135601. The reversal of 13135585 is 58553131.

13135585 is digitally balanced in base 2 and base 3, because in such bases 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 4892944 + 8242641 = 2212^2 + 2871^2 .

It is a cyclic number.

It is not a de Polignac number, because 13135585 - 2¹³ = 13127393 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

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, 1313554 + ... + 1313563.

It is an arithmetic number, because the mean of its divisors is an integer number (3940677).

Almost surely, 2^13135585 is an apocalyptic number.

It is an amenable number.

13135585 is a deficient number, since it is larger than the sum of its proper divisors (2627123).

13135585 is an equidigital number, since it uses as much as digits as its factorization.

13135585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627122.

The product of its digits is 9000, while the sum is 31.

The square root of 13135585 is about 3624.3047609162. The cubic root of 13135585 is about 235.9480937746.

It can be divided in two parts, 131355 and 85, that multiplied together give a triangular number (11165175 = T₄₇₂₅).

The spelling of 13135585 in words is "thirteen million, one hundred thirty-five thousand, five hundred eighty-five".