2565918941 has 2 divisors, whose sum is σ = 2565918942. Its totient is φ = 2565918940.

The previous prime is 2565918923. The next prime is 2565918947. The reversal of 2565918941 is 1498195652.

2565918941 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., 1503810841 + 1062108100 = 38779^2 + 32590^2 .

It is a cyclic number.

It is not a de Polignac number, because 2565918941 - 2¹⁰ = 2565917917 is a prime.

It is a super-2 number, since 2×2565918941² = 13167880023565122962, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2565918941.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2565918947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282959470 + 1282959471.

It is an arithmetic number, because the mean of its divisors is an integer number (1282959471).

Almost surely, 2^2565918941 is an apocalyptic number.

It is an amenable number.

2565918941 is a deficient number, since it is larger than the sum of its proper divisors (1).

2565918941 is an equidigital number, since it uses as much as digits as its factorization.

2565918941 is an evil number, because the sum of its binary digits is even.

The product of its digits is 777600, while the sum is 50.

The square root of 2565918941 is about 50654.9004638248. The cubic root of 2565918941 is about 1369.0342423773.

The spelling of 2565918941 in words is "two billion, five hundred sixty-five million, nine hundred eighteen thousand, nine hundred forty-one".