13528107 has 16 divisors (see below), whose sum is σ = 21221280. Its totient is φ = 8487936.

The previous prime is 13528093. The next prime is 13528129. The reversal of 13528107 is 70182531.

It is not a de Polignac number, because 13528107 - 2⁶ = 13528043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13528507) by changing a digit.

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, 14278 + ... + 15195.

It is an arithmetic number, because the mean of its divisors is an integer number (1326330).

Almost surely, 2^13528107 is an apocalyptic number.

13528107 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13528107 is a deficient number, since it is larger than the sum of its proper divisors (7693173).

13528107 is a wasteful number, since it uses less digits than its factorization.

13528107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29499 (or 29493 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 13528107 is about 3678.0575036288. The cubic root of 13528107 is about 238.2752916948.

The spelling of 13528107 in words is "thirteen million, five hundred twenty-eight thousand, one hundred seven".