13581825 has 24 divisors (see below), whose sum is σ = 22939008. Its totient is φ = 7087680.

The previous prime is 13581823. The next prime is 13581839. The reversal of 13581825 is 52818531.

It is a happy number.

13581825 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 13581825 - 2¹ = 13581823 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13581823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1599 + ... + 5451.

It is an arithmetic number, because the mean of its divisors is an integer number (955792).

Almost surely, 2^13581825 is an apocalyptic number.

13581825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13581825 is a deficient number, since it is larger than the sum of its proper divisors (9357183).

13581825 is a wasteful number, since it uses less digits than its factorization.

13581825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3913 (or 3908 counting only the distinct ones).

The product of its digits is 9600, while the sum is 33.

The square root of 13581825 is about 3685.3527646617. The cubic root of 13581825 is about 238.5902598216.

It can be divided in two parts, 1 and 3581825, that added together give a triangular number (3581826 = T₂₆₇₆).

The spelling of 13581825 in words is "thirteen million, five hundred eighty-one thousand, eight hundred twenty-five".