13505107209 has 8 divisors (see below), whose sum is σ = 19643792352. Its totient is φ = 8184913440.

The previous prime is 13505107201. The next prime is 13505107267. The reversal of 13505107209 is 90270150531.

13505107209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13505107209 - 2³ = 13505107201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 409245673 = 13505107209 / (1 + 3 + 5 + 0 + 5 + 1 + 0 + 7 + 2 + 0 + 9).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13505107209.

It is not an unprimeable number, because it can be changed into a prime (13505107201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204622804 + ... + 204622869.

It is an arithmetic number, because the mean of its divisors is an integer number (2455474044).

Almost surely, 2^13505107209 is an apocalyptic number.

It is an amenable number.

13505107209 is a deficient number, since it is larger than the sum of its proper divisors (6138685143).

13505107209 is a wasteful number, since it uses less digits than its factorization.

13505107209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409245687.

The product of its (nonzero) digits is 9450, while the sum is 33.

The spelling of 13505107209 in words is "thirteen billion, five hundred five million, one hundred seven thousand, two hundred nine".