13525820 has 48 divisors (see below), whose sum is σ = 35417088. Its totient is φ = 4215360.

The previous prime is 13525793. The next prime is 13525849. The reversal of 13525820 is 2852531.

13525820 = T₁₀₅ + T₁₀₆ + ... + T₄₃₄.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13525820.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2852 + ... + 5931.

It is an arithmetic number, because the mean of its divisors is an integer number (737856).

Almost surely, 2^13525820 is an apocalyptic number.

13525820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13525820 is an abundant number, since it is smaller than the sum of its proper divisors (21891268).

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

13525820 is a wasteful number, since it uses less digits than its factorization.

13525820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8810 (or 8808 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 13525820 is about 3677.7465926842. The cubic root of 13525820 is about 238.2618636938.

Subtracting from 13525820 its reverse (2852531), we obtain a square (10673289 = 3267²).

The spelling of 13525820 in words is "thirteen million, five hundred twenty-five thousand, eight hundred twenty".