305255502202241 has 2 divisors, whose sum is σ = 305255502202242. Its totient is φ = 305255502202240.

The previous prime is 305255502202219. The next prime is 305255502202243. The reversal of 305255502202241 is 142202205552503.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 286399064442241 + 18856437760000 = 16923329^2 + 4342400^2 .

It is a cyclic number.

It is not a de Polignac number, because 305255502202241 - 2⁶ = 305255502202177 is a prime.

Together with 305255502202243, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 305255502202195 and 305255502202204.

It is not a weakly prime, because it can be changed into another prime (305255502202243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152627751101120 + 152627751101121.

It is an arithmetic number, because the mean of its divisors is an integer number (152627751101121).

Almost surely, 2^{305255502202241} is an apocalyptic number.

It is an amenable number.

305255502202241 is a deficient number, since it is larger than the sum of its proper divisors (1).

305255502202241 is an equidigital number, since it uses as much as digits as its factorization.

305255502202241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240000, while the sum is 38.

Adding to 305255502202241 its reverse (142202205552503), we get a palindrome (447457707754744).

The spelling of 305255502202241 in words is "three hundred five trillion, two hundred fifty-five billion, five hundred two million, two hundred two thousand, two hundred forty-one".