13825540 has 24 divisors (see below), whose sum is σ = 30562560. Its totient is φ = 5239008.

The previous prime is 13825501. The next prime is 13825549. The reversal of 13825540 is 4552831.

It is a super-2 number, since 2×13825540² = 382291112583200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13825499 and 13825508.

It is not an unprimeable number, because it can be changed into a prime (13825549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17812 + ... + 18571.

It is an arithmetic number, because the mean of its divisors is an integer number (1273440).

Almost surely, 2^13825540 is an apocalyptic number.

13825540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13825540 is an abundant number, since it is smaller than the sum of its proper divisors (16737020).

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

13825540 is a wasteful number, since it uses less digits than its factorization.

13825540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36411 (or 36409 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 13825540 is about 3718.2711036179. The cubic root of 13825540 is about 240.0089117061.

It can be divided in two parts, 13825 and 540, that added together give a triangular number (14365 = T₁₆₉).

The spelling of 13825540 in words is "thirteen million, eight hundred twenty-five thousand, five hundred forty".