5005005002957 has 2 divisors, whose sum is σ = 5005005002958. Its totient is φ = 5005005002956.

The previous prime is 5005005002867. The next prime is 5005005003001. The reversal of 5005005002957 is 7592005005005.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2648255003716 + 2356749999241 = 1627346^2 + 1535171^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-5005005002957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5005005002957.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5005005002357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2502502501478 + 2502502501479.

It is an arithmetic number, because the mean of its divisors is an integer number (2502502501479).

Almost surely, 2^{5005005002957} is an apocalyptic number.

It is an amenable number.

5005005002957 is a deficient number, since it is larger than the sum of its proper divisors (1).

5005005002957 is an equidigital number, since it uses as much as digits as its factorization.

5005005002957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 78750, while the sum is 38.

The spelling of 5005005002957 in words is "five trillion, five billion, five million, two thousand, nine hundred fifty-seven".