12513584 has 20 divisors (see below), whose sum is σ = 25028160. Its totient is φ = 6054720.

The previous prime is 12513583. The next prime is 12513593. The reversal of 12513584 is 48531521.

12513584 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (12513583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12119 + ... + 13110.

It is an arithmetic number, because the mean of its divisors is an integer number (1251408).

Almost surely, 2^12513584 is an apocalyptic number.

It is an amenable number.

12513584 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

12513584 is a wasteful number, since it uses less digits than its factorization.

12513584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25268 (or 25262 counting only the distinct ones).

The product of its digits is 4800, while the sum is 29.

The square root of 12513584 is about 3537.4544520036. The cubic root of 12513584 is about 232.1634797030.

The spelling of 12513584 in words is "twelve million, five hundred thirteen thousand, five hundred eighty-four".