5005005005093 has 2 divisors, whose sum is σ = 5005005005094. Its totient is φ = 5005005005092.

The previous prime is 5005005005053. The next prime is 5005005005107. The reversal of 5005005005093 is 3905005005005.

It is a happy number.

5005005005093 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., 4645434476929 + 359570528164 = 2155327^2 + 599642^2 .

It is a cyclic number.

It is not a de Polignac number, because 5005005005093 - 2¹⁸ = 5005004742949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5005005005053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2502502502546 + 2502502502547.

It is an arithmetic number, because the mean of its divisors is an integer number (2502502502547).

Almost surely, 2^{5005005005093} is an apocalyptic number.

It is an amenable number.

5005005005093 is a deficient number, since it is larger than the sum of its proper divisors (1).

5005005005093 is an equidigital number, since it uses as much as digits as its factorization.

5005005005093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16875, while the sum is 32.

The spelling of 5005005005093 in words is "five trillion, five billion, five million, five thousand, ninety-three".