13505135 has 24 divisors (see below), whose sum is σ = 19015200. Its totient is φ = 9180864.

The previous prime is 13505099. The next prime is 13505137. The reversal of 13505135 is 53150531.

13505135 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 13505135 - 2²² = 9310831 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13505135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13505137) 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 23 ways as a sum of consecutive naturals, for example, 48617 + ... + 48893.

It is an arithmetic number, because the mean of its divisors is an integer number (792300).

Almost surely, 2^13505135 is an apocalyptic number.

13505135 is a deficient number, since it is larger than the sum of its proper divisors (5510065).

13505135 is a wasteful number, since it uses less digits than its factorization.

13505135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 23.

The square root of 13505135 is about 3674.9333327286. The cubic root of 13505135 is about 238.1403439845.

Adding to 13505135 its reverse (53150531), we get a palindrome (66655666).

The spelling of 13505135 in words is "thirteen million, five hundred five thousand, one hundred thirty-five".