13535505342 has 48 divisors (see below), whose sum is σ = 31588402560. Its totient is φ = 4174961616.

The previous prime is 13535505331. The next prime is 13535505413. The reversal of 13535505342 is 24350553531.

13535505342 is a `hidden beast` number, since 1 + 3 + 53 + 550 + 53 + 4 + 2 = 666.

It is a super-3 number, since 3×13535505342³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13535505297 and 13535505306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445498 + ... + 474909.

It is an arithmetic number, because the mean of its divisors is an integer number (658091720).

Almost surely, 2^13535505342 is an apocalyptic number.

13535505342 is an abundant number, since it is smaller than the sum of its proper divisors (18052897218).

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

13535505342 is a wasteful number, since it uses less digits than its factorization.

13535505342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920477 (or 920474 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 13535505342 in words is "thirteen billion, five hundred thirty-five million, five hundred five thousand, three hundred forty-two".