5005876313 has 2 divisors, whose sum is σ = 5005876314. Its totient is φ = 5005876312.

The previous prime is 5005876301. The next prime is 5005876399. The reversal of 5005876313 is 3136785005.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2565219904 + 2440656409 = 50648^2 + 49403^2 .

It is a cyclic number.

It is not a de Polignac number, because 5005876313 - 2⁴ = 5005876297 is a prime.

It is a super-2 number, since 2×5005876313² = 50117595322108947938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (5005876013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2502938156 + 2502938157.

It is an arithmetic number, because the mean of its divisors is an integer number (2502938157).

Almost surely, 2^5005876313 is an apocalyptic number.

It is an amenable number.

5005876313 is a deficient number, since it is larger than the sum of its proper divisors (1).

5005876313 is an equidigital number, since it uses as much as digits as its factorization.

5005876313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 5005876313 is about 70752.2177249590. The cubic root of 5005876313 is about 1710.6455746746.

The spelling of 5005876313 in words is "five billion, five million, eight hundred seventy-six thousand, three hundred thirteen".