13535335352 has 64 divisors (see below), whose sum is σ = 31657616640. Its totient is φ = 5270745600.

The previous prime is 13535335313. The next prime is 13535335381. The reversal of 13535335352 is 25353353531.

13535335352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13535335352² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1484327 + ... + 1493417.

It is an arithmetic number, because the mean of its divisors is an integer number (494650260).

Almost surely, 2^13535335352 is an apocalyptic number.

It is an amenable number.

13535335352 is an abundant number, since it is smaller than the sum of its proper divisors (18122281288).

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

13535335352 is a wasteful number, since it uses less digits than its factorization.

13535335352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11532 (or 11528 counting only the distinct ones).

The product of its digits is 303750, while the sum is 38.

Adding to 13535335352 its reverse (25353353531), we get a palindrome (38888688883).

It can be divided in two parts, 1 and 3535335352, that added together give a palindrome (3535335353).

The spelling of 13535335352 in words is "thirteen billion, five hundred thirty-five million, three hundred thirty-five thousand, three hundred fifty-two".