2252305049993 has 2 divisors, whose sum is σ = 2252305049994. Its totient is φ = 2252305049992.

The previous prime is 2252305049963. The next prime is 2252305050011. The reversal of 2252305049993 is 3999405032522.

2252305049993 is digitally balanced in base 2, 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., 2249529024649 + 2776025344 = 1499843^2 + 52688^2 .

It is a cyclic number.

It is not a de Polignac number, because 2252305049993 - 2³⁰ = 2251231308169 is a prime.

It is not a weakly prime, because it can be changed into another prime (2252305049923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126152524996 + 1126152524997.

It is an arithmetic number, because the mean of its divisors is an integer number (1126152524997).

Almost surely, 2^{2252305049993} is an apocalyptic number.

It is an amenable number.

2252305049993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2252305049993 is an equidigital number, since it uses as much as digits as its factorization.

2252305049993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5248800, while the sum is 53.

The spelling of 2252305049993 in words is "two trillion, two hundred fifty-two billion, three hundred five million, forty-nine thousand, nine hundred ninety-three".