2563052884013 has 2 divisors, whose sum is σ = 2563052884014. Its totient is φ = 2563052884012.

The previous prime is 2563052884003. The next prime is 2563052884039. The reversal of 2563052884013 is 3104882503652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2543202046564 + 19850837449 = 1594742^2 + 140893^2 .

It is a cyclic number.

It is not a de Polignac number, because 2563052884013 - 2¹⁰ = 2563052882989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2563052884003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1281526442006 + 1281526442007.

It is an arithmetic number, because the mean of its divisors is an integer number (1281526442007).

Almost surely, 2^{2563052884013} is an apocalyptic number.

It is an amenable number.

2563052884013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2563052884013 is an equidigital number, since it uses as much as digits as its factorization.

2563052884013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1382400, while the sum is 47.

The spelling of 2563052884013 in words is "two trillion, five hundred sixty-three billion, fifty-two million, eight hundred eighty-four thousand, thirteen".