13125624 has 32 divisors (see below), whose sum is σ = 32910720. Its totient is φ = 4362336.

The previous prime is 13125611. The next prime is 13125653. The reversal of 13125624 is 42652131.

13125624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 13125594 and 13125603.

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, 11127 + ... + 12249.

It is an arithmetic number, because the mean of its divisors is an integer number (1028460).

Almost surely, 2^13125624 is an apocalyptic number.

It is an amenable number.

13125624 is an abundant number, since it is smaller than the sum of its proper divisors (19785096).

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

13125624 is a wasteful number, since it uses less digits than its factorization.

13125624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1615 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 13125624 is about 3622.9303057056. The cubic root of 13125624 is about 235.8884371674. Note that the first 3 decimals are identical.

Adding to 13125624 its reverse (42652131), we get a palindrome (55777755).

The spelling of 13125624 in words is "thirteen million, one hundred twenty-five thousand, six hundred twenty-four".