5008041688313 has 2 divisors, whose sum is σ = 5008041688314. Its totient is φ = 5008041688312.

The previous prime is 5008041688301. The next prime is 5008041688319. The reversal of 5008041688313 is 3138861408005.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4617156645049 + 390885043264 = 2148757^2 + 625208^2 .

It is a cyclic number.

It is not a de Polignac number, because 5008041688313 - 2¹⁴ = 5008041671929 is a prime.

It is not a weakly prime, because it can be changed into another prime (5008041688319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2504020844156 + 2504020844157.

It is an arithmetic number, because the mean of its divisors is an integer number (2504020844157).

Almost surely, 2^{5008041688313} is an apocalyptic number.

It is an amenable number.

5008041688313 is a deficient number, since it is larger than the sum of its proper divisors (1).

5008041688313 is an equidigital number, since it uses as much as digits as its factorization.

5008041688313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 552960, while the sum is 47.

The spelling of 5008041688313 in words is "five trillion, eight billion, forty-one million, six hundred eighty-eight thousand, three hundred thirteen".