2255863205741 has 2 divisors, whose sum is σ = 2255863205742. Its totient is φ = 2255863205740.

The previous prime is 2255863205719. The next prime is 2255863205749. The reversal of 2255863205741 is 1475023685522.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2218151507716 + 37711698025 = 1489346^2 + 194195^2 .

It is a cyclic number.

It is not a de Polignac number, because 2255863205741 - 2³⁴ = 2238683336557 is a prime.

It is a super-2 number, since 2×2255863205741² (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2255863205741.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2255863205749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1127931602870 + 1127931602871.

It is an arithmetic number, because the mean of its divisors is an integer number (1127931602871).

Almost surely, 2^{2255863205741} is an apocalyptic number.

It is an amenable number.

2255863205741 is a deficient number, since it is larger than the sum of its proper divisors (1).

2255863205741 is an equidigital number, since it uses as much as digits as its factorization.

2255863205741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032000, while the sum is 50.

The spelling of 2255863205741 in words is "two trillion, two hundred fifty-five billion, eight hundred sixty-three million, two hundred five thousand, seven hundred forty-one".