5005636265313 has 6 divisors (see below), whose sum is σ = 7230363494354. Its totient is φ = 3337090843536.

The previous prime is 5005636265281. The next prime is 5005636265323. The reversal of 5005636265313 is 3135626365005.

5005636265313 is a `hidden beast` number, since 5 + 0 + 0 + 5 + 6 + 3 + 626 + 5 + 3 + 13 = 666.

5005636265313 is digitally balanced in base 3, 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 only one way, i.e., 4130275806864 + 875360458449 = 2032308^2 + 935607^2 .

It is not a de Polignac number, because 5005636265313 - 2⁵ = 5005636265281 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5005636265323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 278090903620 + ... + 278090903637.

Almost surely, 2^{5005636265313} is an apocalyptic number.

It is an amenable number.

5005636265313 is a deficient number, since it is larger than the sum of its proper divisors (2224727229041).

5005636265313 is a wasteful number, since it uses less digits than its factorization.

5005636265313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556181807263 (or 556181807260 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 45.

The spelling of 5005636265313 in words is "five trillion, five billion, six hundred thirty-six million, two hundred sixty-five thousand, three hundred thirteen".