13125824 has 56 divisors (see below), whose sum is σ = 28029408. Its totient is φ = 6082560.

The previous prime is 13125817. The next prime is 13125839. The reversal of 13125824 is 42852131.

It is a junction number, because it is equal to n+sod(n) for n = 13125793 and 13125802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54344 + ... + 54584.

Almost surely, 2^13125824 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 13125824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14014704).

13125824 is an abundant number, since it is smaller than the sum of its proper divisors (14903584).

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

13125824 is a wasteful number, since it uses less digits than its factorization.

13125824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 303 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 13125824 is about 3622.9579075667. The cubic root of 13125824 is about 235.8896352679.

Adding to 13125824 its reverse (42852131), we get a palindrome (55977955).

The spelling of 13125824 in words is "thirteen million, one hundred twenty-five thousand, eight hundred twenty-four".