13535013 has 16 divisors (see below), whose sum is σ = 18754560. Its totient is φ = 8676336.

The previous prime is 13534993. The next prime is 13535021. The reversal of 13535013 is 31053531.

It is a happy number.

13535013 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13535013 - 2⁸ = 13534757 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13535023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7506 + ... + 9132.

It is an arithmetic number, because the mean of its divisors is an integer number (1172160).

Almost surely, 2^13535013 is an apocalyptic number.

It is an amenable number.

13535013 is a deficient number, since it is larger than the sum of its proper divisors (5219547).

13535013 is a wasteful number, since it uses less digits than its factorization.

13535013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 13535013 is about 3678.9961946161. The cubic root of 13535013 is about 238.3158307304.

Adding to 13535013 its reverse (31053531), we get a palindrome (44588544).

The spelling of 13535013 in words is "thirteen million, five hundred thirty-five thousand, thirteen".