2265111220441 has 2 divisors, whose sum is σ = 2265111220442. Its totient is φ = 2265111220440.

The previous prime is 2265111220439. The next prime is 2265111220481. The reversal of 2265111220441 is 1440221115622.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1311746449225 + 953364771216 = 1145315^2 + 976404^2 .

It is a cyclic number.

It is not a de Polignac number, because 2265111220441 - 2¹ = 2265111220439 is a prime.

Together with 2265111220439, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2265111220481) 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, 1132555610220 + 1132555610221.

It is an arithmetic number, because the mean of its divisors is an integer number (1132555610221).

Almost surely, 2^{2265111220441} is an apocalyptic number.

It is an amenable number.

2265111220441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2265111220441 is an equidigital number, since it uses as much as digits as its factorization.

2265111220441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 2265111220441 in words is "two trillion, two hundred sixty-five billion, one hundred eleven million, two hundred twenty thousand, four hundred forty-one".