505416123161 has 2 divisors, whose sum is σ = 505416123162. Its totient is φ = 505416123160.

The previous prime is 505416123139. The next prime is 505416123181. The reversal of 505416123161 is 161321614505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 301049742400 + 204366380761 = 548680^2 + 452069^2 .

It is a cyclic number.

It is not a de Polignac number, because 505416123161 - 2³⁸ = 230538216217 is a prime.

It is not a weakly prime, because it can be changed into another prime (505416123181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252708061580 + 252708061581.

It is an arithmetic number, because the mean of its divisors is an integer number (252708061581).

Almost surely, 2^505416123161 is an apocalyptic number.

It is an amenable number.

505416123161 is a deficient number, since it is larger than the sum of its proper divisors (1).

505416123161 is an equidigital number, since it uses as much as digits as its factorization.

505416123161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21600, while the sum is 35.

Adding to 505416123161 its reverse (161321614505), we get a palindrome (666737737666).

The spelling of 505416123161 in words is "five hundred five billion, four hundred sixteen million, one hundred twenty-three thousand, one hundred sixty-one".