5005636305313 has 16 divisors (see below), whose sum is σ = 5741350917120. Its totient is φ = 4275102520656.

The previous prime is 5005636305301. The next prime is 5005636305403. The reversal of 5005636305313 is 3135036365005.

It is a cyclic number.

It is not a de Polignac number, because 5005636305313 - 2³⁷ = 4868197351841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5005636305613) 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 15 ways as a sum of consecutive naturals, for example, 1377006 + ... + 3450712.

It is an arithmetic number, because the mean of its divisors is an integer number (358834432320).

Almost surely, 2^{5005636305313} is an apocalyptic number.

It is an amenable number.

5005636305313 is a deficient number, since it is larger than the sum of its proper divisors (735714611807).

5005636305313 is a wasteful number, since it uses less digits than its factorization.

5005636305313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074956.

The product of its (nonzero) digits is 364500, while the sum is 40.

The spelling of 5005636305313 in words is "five trillion, five billion, six hundred thirty-six million, three hundred five thousand, three hundred thirteen".