2565013363021 has 2 divisors, whose sum is σ = 2565013363022. Its totient is φ = 2565013363020.

The previous prime is 2565013362893. The next prime is 2565013363027. The reversal of 2565013363021 is 1203633105652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2558915314921 + 6098048100 = 1599661^2 + 78090^2 .

It is a cyclic number.

It is not a de Polignac number, because 2565013363021 - 2⁷ = 2565013362893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2565013363027) 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, 1282506681510 + 1282506681511.

It is an arithmetic number, because the mean of its divisors is an integer number (1282506681511).

Almost surely, 2^{2565013363021} is an apocalyptic number.

It is an amenable number.

2565013363021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2565013363021 is an equidigital number, since it uses as much as digits as its factorization.

2565013363021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 97200, while the sum is 37.

Adding to 2565013363021 its reverse (1203633105652), we get a palindrome (3768646468673).

The spelling of 2565013363021 in words is "two trillion, five hundred sixty-five billion, thirteen million, three hundred sixty-three thousand, twenty-one".