12513424 has 60 divisors (see below), whose sum is σ = 30788208. Its totient is φ = 4872000.

The previous prime is 12513409. The next prime is 12513433. The reversal of 12513424 is 42431521.

12513424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12513395 and 12513404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7899 + ... + 9349.

Almost surely, 2^12513424 is an apocalyptic number.

12513424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12513424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15394104).

12513424 is an abundant number, since it is smaller than the sum of its proper divisors (18274784).

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

12513424 is a wasteful number, since it uses less digits than its factorization.

12513424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1471 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 12513424 is about 3537.4318367991. The cubic root of 12513424 is about 232.1624902099.

Adding to 12513424 its reverse (42431521), we get a palindrome (54944945).

The spelling of 12513424 in words is "twelve million, five hundred thirteen thousand, four hundred twenty-four".