13526385 has 32 divisors (see below), whose sum is σ = 23531520. Its totient is φ = 6609600.

The previous prime is 13526377. The next prime is 13526417. The reversal of 13526385 is 58362531.

13526385 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 13526385 - 2³ = 13526377 is a prime.

It is a super-3 number, since 3×13526385³ (a number of 22 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 8070 + ... + 9600.

It is an arithmetic number, because the mean of its divisors is an integer number (735360).

Almost surely, 2^13526385 is an apocalyptic number.

13526385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13526385 is a deficient number, since it is larger than the sum of its proper divisors (10005135).

13526385 is a wasteful number, since it uses less digits than its factorization.

13526385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589.

The product of its digits is 21600, while the sum is 33.

The square root of 13526385 is about 3677.8234052222. The cubic root of 13526385 is about 238.2651812025.

The spelling of 13526385 in words is "thirteen million, five hundred twenty-six thousand, three hundred eighty-five".