13585520 has 40 divisors (see below), whose sum is σ = 34018656. Its totient is φ = 5015808.

The previous prime is 13585511. The next prime is 13585541. The reversal of 13585520 is 2558531.

13585520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5492 + ... + 7571.

Almost surely, 2^13585520 is an apocalyptic number.

13585520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13585520 is an abundant number, since it is smaller than the sum of its proper divisors (20433136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13585520 is a wasteful number, since it uses less digits than its factorization.

13585520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13089 (or 13083 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 13585520 is about 3685.8540394324. The cubic root of 13585520 is about 238.6118943975.

The spelling of 13585520 in words is "thirteen million, five hundred eighty-five thousand, five hundred twenty".