2565013362893 has 2 divisors, whose sum is σ = 2565013362894. Its totient is φ = 2565013362892.

The previous prime is 2565013362827. The next prime is 2565013363021. The reversal of 2565013362893 is 3982633105652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2256013012009 + 309000350884 = 1502003^2 + 555878^2 .

It is a cyclic number.

It is not a de Polignac number, because 2565013362893 - 2³² = 2560718395597 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2565013362823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282506681446 + 1282506681447.

It is an arithmetic number, because the mean of its divisors is an integer number (1282506681447).

Almost surely, 2^{2565013362893} is an apocalyptic number.

It is an amenable number.

2565013362893 is a deficient number, since it is larger than the sum of its proper divisors (1).

2565013362893 is an equidigital number, since it uses as much as digits as its factorization.

2565013362893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6998400, while the sum is 53.

The spelling of 2565013362893 in words is "two trillion, five hundred sixty-five billion, thirteen million, three hundred sixty-two thousand, eight hundred ninety-three".