5005133873 has 2 divisors, whose sum is σ = 5005133874. Its totient is φ = 5005133872.

The previous prime is 5005133857. The next prime is 5005133879. The reversal of 5005133873 is 3783315005.

5005133873 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., 4962779809 + 42354064 = 70447^2 + 6508^2 .

It is a cyclic number.

It is not a de Polignac number, because 5005133873 - 2⁴ = 5005133857 is a prime.

It is not a weakly prime, because it can be changed into another prime (5005133879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2502566936 + 2502566937.

It is an arithmetic number, because the mean of its divisors is an integer number (2502566937).

Almost surely, 2^5005133873 is an apocalyptic number.

It is an amenable number.

5005133873 is a deficient number, since it is larger than the sum of its proper divisors (1).

5005133873 is an equidigital number, since it uses as much as digits as its factorization.

5005133873 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 5005133873 is about 70746.9707690725. The cubic root of 5005133873 is about 1710.5609997727.

Adding to 5005133873 its reverse (3783315005), we get a palindrome (8788448878).

The spelling of 5005133873 in words is "five billion, five million, one hundred thirty-three thousand, eight hundred seventy-three".