13505310352 has 60 divisors (see below), whose sum is σ = 27660606096. Its totient is φ = 6386973120.

The previous prime is 13505310349. The next prime is 13505310367. The reversal of 13505310352 is 25301350531.

13505310352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13505310352.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4544227 + ... + 4547197.

Almost surely, 2^13505310352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13505310352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13830303048).

13505310352 is an abundant number, since it is smaller than the sum of its proper divisors (14155295744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13505310352 is a wasteful number, since it uses less digits than its factorization.

13505310352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 28.

Adding to 13505310352 its reverse (25301350531), we get a palindrome (38806660883).

The spelling of 13505310352 in words is "thirteen billion, five hundred five million, three hundred ten thousand, three hundred fifty-two".