13824525 has 48 divisors (see below), whose sum is σ = 26873280. Its totient is φ = 6182400.

The previous prime is 13824511. The next prime is 13824529. The reversal of 13824525 is 52542831.

13824525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13824525 - 2⁸ = 13824269 is a prime.

It is a super-2 number, since 2×13824525² = 382234982951250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13824492 and 13824501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13824529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10081 + ... + 11369.

It is an arithmetic number, because the mean of its divisors is an integer number (559860).

Almost surely, 2^13824525 is an apocalyptic number.

13824525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13824525 is a deficient number, since it is larger than the sum of its proper divisors (13048755).

13824525 is a wasteful number, since it uses less digits than its factorization.

13824525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1321 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 13824525 is about 3718.1346129477. The cubic root of 13824525 is about 240.0030381560.

The spelling of 13824525 in words is "thirteen million, eight hundred twenty-four thousand, five hundred twenty-five".