13281585 has 16 divisors (see below), whose sum is σ = 21303744. Its totient is φ = 7065792.

The previous prime is 13281571. The next prime is 13281613. The reversal of 13281585 is 58518231.

It is a happy number.

It is not a de Polignac number, because 13281585 - 2⁵ = 13281553 is a prime.

It is a super-2 number, since 2×13281585² = 352801000224450, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6999 + ... + 8691.

It is an arithmetic number, because the mean of its divisors is an integer number (1331484).

Almost surely, 2^13281585 is an apocalyptic number.

13281585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13281585 is a deficient number, since it is larger than the sum of its proper divisors (8022159).

13281585 is a wasteful number, since it uses less digits than its factorization.

13281585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224.

The product of its digits is 9600, while the sum is 33.

The square root of 13281585 is about 3644.3908956093. The cubic root of 13281585 is about 236.8190504004.

The spelling of 13281585 in words is "thirteen million, two hundred eighty-one thousand, five hundred eighty-five".