13632492825 has 144 divisors (see below), whose sum is σ = 28867902336. Its totient is φ = 6020121600.

The previous prime is 13632492793. The next prime is 13632492851. The reversal of 13632492825 is 52829423631.

13632492825 is a `hidden beast` number, since 1 + 3 + 632 + 4 + 9 + 2 + 8 + 2 + 5 = 666.

13632492825 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 13632492825 - 2⁵ = 13632492793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6908539 + ... + 6910511.

It is an arithmetic number, because the mean of its divisors is an integer number (200471544).

Almost surely, 2^13632492825 is an apocalyptic number.

13632492825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13632492825 is an abundant number, since it is smaller than the sum of its proper divisors (15235409511).

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

13632492825 is a wasteful number, since it uses less digits than its factorization.

13632492825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2136 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 13632492825 in words is "thirteen billion, six hundred thirty-two million, four hundred ninety-two thousand, eight hundred twenty-five".