13505353253413 has 4 divisors (see below), whose sum is σ = 15434689432480. Its totient is φ = 11576017074348.

The previous prime is 13505353253383. The next prime is 13505353253417. The reversal of 13505353253413 is 31435235350531.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 13505353253413 - 2⁹ = 13505353252901 is a prime.

It is a super-2 number, since 2×13505353253413² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13505353253413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13505353253417) 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 3 ways as a sum of consecutive naturals, for example, 964668089523 + ... + 964668089536.

It is an arithmetic number, because the mean of its divisors is an integer number (3858672358120).

Almost surely, 2^{13505353253413} is an apocalyptic number.

It is an amenable number.

13505353253413 is a deficient number, since it is larger than the sum of its proper divisors (1929336179067).

13505353253413 is an equidigital number, since it uses as much as digits as its factorization.

13505353253413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929336179066.

The product of its (nonzero) digits is 1215000, while the sum is 43.

The spelling of 13505353253413 in words is "thirteen trillion, five hundred five billion, three hundred fifty-three million, two hundred fifty-three thousand, four hundred thirteen".