3513116113153 has 8 divisors (see below), whose sum is σ = 3756599409960. Its totient is φ = 3273724972800.

The previous prime is 3513116113147. The next prime is 3513116113163.

3513116113153 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 777558894849 + 2735557218304 = 881793^2 + 1653952^2 .

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 3513116113153 - 2²⁵ = 3513082558721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3513116113103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1023037338 + ... + 1023040771.

It is an arithmetic number, because the mean of its divisors is an integer number (469574926245).

Almost surely, 2^{3513116113153} is an apocalyptic number.

It is an amenable number.

3513116113153 is a deficient number, since it is larger than the sum of its proper divisors (243483296807).

3513116113153 is a wasteful number, since it uses less digits than its factorization.

3513116113153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046078227.

The product of its digits is 12150, while the sum is 34.

The spelling of 3513116113153 in words is "three trillion, five hundred thirteen billion, one hundred sixteen million, one hundred thirteen thousand, one hundred fifty-three".