5005000601 has 2 divisors, whose sum is σ = 5005000602. Its totient is φ = 5005000600.

The previous prime is 5005000589. The next prime is 5005000603. The reversal of 5005000601 is 1060005005.

5005000601 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4111887376 + 893113225 = 64124^2 + 29885^2 .

It is a cyclic number.

It is not a de Polignac number, because 5005000601 - 2¹⁴ = 5004984217 is a prime.

It is a super-2 number, since 2×5005000601² = 50100062032020722402, which contains 22 as substring.

Together with 5005000603, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5005000601.

It is not a weakly prime, because it can be changed into another prime (5005000603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2502500300 + 2502500301.

It is an arithmetic number, because the mean of its divisors is an integer number (2502500301).

Almost surely, 2^5005000601 is an apocalyptic number.

It is an amenable number.

5005000601 is a deficient number, since it is larger than the sum of its proper divisors (1).

5005000601 is an equidigital number, since it uses as much as digits as its factorization.

5005000601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 5005000601 is about 70746.0288708843. The cubic root of 5005000601 is about 1710.5458172345.

Adding to 5005000601 its reverse (1060005005), we get a palindrome (6065005606).

The spelling of 5005000601 in words is "five billion, five million, six hundred one", and thus it is an aban number.