505055505041 has 2 divisors, whose sum is σ = 505055505042. Its totient is φ = 505055505040.

The previous prime is 505055504981. The next prime is 505055505047. The reversal of 505055505041 is 140505550505.

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., 478858464016 + 26197041025 = 691996^2 + 161855^2 .

It is a cyclic number.

It is not a de Polignac number, because 505055505041 - 2¹⁴ = 505055488657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505055504992 and 505055505010.

It is not a weakly prime, because it can be changed into another prime (505055505047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252527752520 + 252527752521.

It is an arithmetic number, because the mean of its divisors is an integer number (252527752521).

Almost surely, 2^505055505041 is an apocalyptic number.

It is an amenable number.

505055505041 is a deficient number, since it is larger than the sum of its proper divisors (1).

505055505041 is an equidigital number, since it uses as much as digits as its factorization.

505055505041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 62500, while the sum is 35.

It can be divided in two parts, 50505550504 and 1, that added together give a palindrome (50505550505).

The spelling of 505055505041 in words is "five hundred five billion, fifty-five million, five hundred five thousand, forty-one".