13500825 has 48 divisors (see below), whose sum is σ = 24540096. Its totient is φ = 6508800.

The previous prime is 13500769. The next prime is 13500827. The reversal of 13500825 is 52800531.

It is not a de Polignac number, because 13500825 - 2⁶ = 13500761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13500795 and 13500804.

It is not an unprimeable number, because it can be changed into a prime (13500827) 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, 59362 + ... + 59588.

It is an arithmetic number, because the mean of its divisors is an integer number (511252).

Almost surely, 2^13500825 is an apocalyptic number.

13500825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13500825 is a deficient number, since it is larger than the sum of its proper divisors (11039271).

13500825 is a wasteful number, since it uses less digits than its factorization.

13500825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 13500825 is about 3674.3468807395. The cubic root of 13500825 is about 238.1150080885.

The spelling of 13500825 in words is "thirteen million, five hundred thousand, eight hundred twenty-five".