13505635 has 24 divisors (see below), whose sum is σ = 19157904. Its totient is φ = 9060480.

The previous prime is 13505593. The next prime is 13505641. The reversal of 13505635 is 53650531.

It is a happy number.

13505635 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 13505635 - 2⁷ = 13505507 is a prime.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8569 + ... + 10021.

It is an arithmetic number, because the mean of its divisors is an integer number (798246).

Almost surely, 2^13505635 is an apocalyptic number.

13505635 is a deficient number, since it is larger than the sum of its proper divisors (5652269).

13505635 is a wasteful number, since it uses less digits than its factorization.

13505635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 28.

The square root of 13505635 is about 3675.0013605440. The cubic root of 13505635 is about 238.1432828347.

Subtracting 13505635 from its reverse (53650531), we obtain a square (40144896 = 6336²).

The spelling of 13505635 in words is "thirteen million, five hundred five thousand, six hundred thirty-five".