5005005005053 has 2 divisors, whose sum is σ = 5005005005054. Its totient is φ = 5005005005052.

The previous prime is 5005005005051. The next prime is 5005005005093. The reversal of 5005005005053 is 3505005005005.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3553274010169 + 1451730994884 = 1885013^2 + 1204878^2 .

It is a cyclic number.

It is not a de Polignac number, because 5005005005053 - 2¹ = 5005005005051 is a prime.

Together with 5005005005051, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5005005005051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2502502502526 + 2502502502527.

It is an arithmetic number, because the mean of its divisors is an integer number (2502502502527).

Almost surely, 2^{5005005005053} is an apocalyptic number.

It is an amenable number.

5005005005053 is a deficient number, since it is larger than the sum of its proper divisors (1).

5005005005053 is an equidigital number, since it uses as much as digits as its factorization.

5005005005053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9375, while the sum is 28.

The spelling of 5005005005053 in words is "five trillion, five billion, five million, five thousand, fifty-three".