13528385 has 8 divisors (see below), whose sum is σ = 17482920. Its totient is φ = 9990144.

The previous prime is 13528367. The next prime is 13528387. The reversal of 13528385 is 58382531.

13528385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 452929 + 13075456 = 673^2 + 3616^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13528385 - 2⁶ = 13528321 is a prime.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (13528387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104000 + ... + 104129.

It is an arithmetic number, because the mean of its divisors is an integer number (2185365).

Almost surely, 2^13528385 is an apocalyptic number.

It is an amenable number.

13528385 is a deficient number, since it is larger than the sum of its proper divisors (3954535).

13528385 is a wasteful number, since it uses less digits than its factorization.

13528385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208147.

The product of its digits is 28800, while the sum is 35.

The square root of 13528385 is about 3678.0952951222. The cubic root of 13528385 is about 238.2769238541.

The spelling of 13528385 in words is "thirteen million, five hundred twenty-eight thousand, three hundred eighty-five".