13825124 has 24 divisors (see below), whose sum is σ = 25105080. Its totient is φ = 6656256.

The previous prime is 13825111. The next prime is 13825129. The reversal of 13825124 is 42152831.

13825124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9498724 + 4326400 = 3082^2 + 2080^2 .

It is a super-2 number, since 2×13825124² = 382268107230752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13825093 and 13825102.

It is not an unprimeable number, because it can be changed into a prime (13825129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15704 + ... + 16560.

It is an arithmetic number, because the mean of its divisors is an integer number (1046045).

Almost surely, 2^13825124 is an apocalyptic number.

It is an amenable number.

13825124 is a deficient number, since it is larger than the sum of its proper divisors (11279956).

13825124 is a wasteful number, since it uses less digits than its factorization.

13825124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1005 counting only the distinct ones).

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

The square root of 13825124 is about 3718.2151632201. The cubic root of 13825124 is about 240.0065044533.

Adding to 13825124 its reverse (42152831), we get a palindrome (55977955).

The spelling of 13825124 in words is "thirteen million, eight hundred twenty-five thousand, one hundred twenty-four".