505363111241 has 2 divisors, whose sum is σ = 505363111242. Its totient is φ = 505363111240.

The previous prime is 505363111151. The next prime is 505363111243. The reversal of 505363111241 is 142111363505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 321511680400 + 183851430841 = 567020^2 + 428779^2 .

It is a cyclic number.

It is not a de Polignac number, because 505363111241 - 2²⁶ = 505296002377 is a prime.

Together with 505363111243, 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 = 505363111198 and 505363111207.

It is not a weakly prime, because it can be changed into another prime (505363111243) 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, 252681555620 + 252681555621.

It is an arithmetic number, because the mean of its divisors is an integer number (252681555621).

Almost surely, 2^505363111241 is an apocalyptic number.

It is an amenable number.

505363111241 is a deficient number, since it is larger than the sum of its proper divisors (1).

505363111241 is an equidigital number, since it uses as much as digits as its factorization.

505363111241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 32.

Adding to 505363111241 its reverse (142111363505), we get a palindrome (647474474746).

The spelling of 505363111241 in words is "five hundred five billion, three hundred sixty-three million, one hundred eleven thousand, two hundred forty-one".