505110110081 has 2 divisors, whose sum is σ = 505110110082. Its totient is φ = 505110110080.

The previous prime is 505110110051. The next prime is 505110110107. The reversal of 505110110081 is 180011011505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 325537572481 + 179572537600 = 570559^2 + 423760^2 .

It is a cyclic number.

It is not a de Polignac number, because 505110110081 - 2⁶ = 505110110017 is a prime.

It is a super-2 number, since 2×505110110081² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (505110110051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252555055040 + 252555055041.

It is an arithmetic number, because the mean of its divisors is an integer number (252555055041).

Almost surely, 2^505110110081 is an apocalyptic number.

It is an amenable number.

505110110081 is a deficient number, since it is larger than the sum of its proper divisors (1).

505110110081 is an equidigital number, since it uses as much as digits as its factorization.

505110110081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 200, while the sum is 23.

Adding to 505110110081 its reverse (180011011505), we get a palindrome (685121121586).

The spelling of 505110110081 in words is "five hundred five billion, one hundred ten million, one hundred ten thousand, eighty-one".