13505301 has 24 divisors (see below), whose sum is σ = 20756736. Its totient is φ = 8442720.

The previous prime is 13505299. The next prime is 13505321. The reversal of 13505301 is 10350531.

It is a happy number.

13505301 is a `hidden beast` number, since 135 + 0 + 530 + 1 = 666.

It is not a de Polignac number, because 13505301 - 2¹ = 13505299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13505321) by changing a digit.

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, 10356 + ... + 11586.

It is an arithmetic number, because the mean of its divisors is an integer number (864864).

Almost surely, 2^13505301 is an apocalyptic number.

It is an amenable number.

13505301 is a deficient number, since it is larger than the sum of its proper divisors (7251435).

13505301 is a wasteful number, since it uses less digits than its factorization.

13505301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 13505301 is about 3674.9559181030. The cubic root of 13505301 is about 238.1413196908.

Adding to 13505301 its reverse (10350531), we get a palindrome (23855832).

It can be divided in two parts, 1350530 and 1, that added together give a palindrome (1350531).

The spelling of 13505301 in words is "thirteen million, five hundred five thousand, three hundred one".