13353005153 has 8 divisors (see below), whose sum is σ = 13381591080. Its totient is φ = 13324446720.

The previous prime is 13353005123. The next prime is 13353005179. The reversal of 13353005153 is 35150035331.

13353005153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1136566369 + 12216438784 = 33713^2 + 110528^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 13353005153 - 2¹⁸ = 13352743009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13353005123) 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, 1172993 + ... + 1184321.

It is an arithmetic number, because the mean of its divisors is an integer number (1672698885).

Almost surely, 2^13353005153 is an apocalyptic number.

It is an amenable number.

13353005153 is a deficient number, since it is larger than the sum of its proper divisors (28585927).

13353005153 is a wasteful number, since it uses less digits than its factorization.

13353005153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13747.

The product of its (nonzero) digits is 10125, while the sum is 29.

The spelling of 13353005153 in words is "thirteen billion, three hundred fifty-three million, five thousand, one hundred fifty-three".