13530825 has 108 divisors (see below), whose sum is σ = 30873024. Its totient is φ = 5544000.

The previous prime is 13530823. The next prime is 13530833. The reversal of 13530825 is 52803531.

13530825 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13530825 - 2¹ = 13530823 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13530823) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 190540 + ... + 190610.

Almost surely, 2^13530825 is an apocalyptic number.

13530825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13530825 is an abundant number, since it is smaller than the sum of its proper divisors (17342199).

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

13530825 is a wasteful number, since it uses less digits than its factorization.

13530825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 13530825 is about 3678.4269735853. The cubic root of 13530825 is about 238.2912483218.

The spelling of 13530825 in words is "thirteen million, five hundred thirty thousand, eight hundred twenty-five".