12513864 has 64 divisors (see below), whose sum is σ = 34525440. Its totient is φ = 3748160.

The previous prime is 12513859. The next prime is 12513869. The reversal of 12513864 is 46831521.

It is an interprime number because it is at equal distance from previous prime (12513859) and next prime (12513869).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12513869) 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 15 ways as a sum of consecutive naturals, for example, 28027 + ... + 28469.

It is an arithmetic number, because the mean of its divisors is an integer number (539460).

Almost surely, 2^12513864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12513864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17262720).

12513864 is an abundant number, since it is smaller than the sum of its proper divisors (22011576).

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

12513864 is a wasteful number, since it uses less digits than its factorization.

12513864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 566 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 12513864 is about 3537.4940282635. The cubic root of 12513864 is about 232.1652112956.

It can be divided in two parts, 1251 and 3864, that added together give a palindrome (5115).

The spelling of 12513864 in words is "twelve million, five hundred thirteen thousand, eight hundred sixty-four".