505550105513 has 2 divisors, whose sum is σ = 505550105514. Its totient is φ = 505550105512.

The previous prime is 505550105447. The next prime is 505550105531. The reversal of 505550105513 is 315501055505.

Together with next prime (505550105531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 279252004249 + 226298101264 = 528443^2 + 475708^2 .

It is a cyclic number.

It is not a de Polignac number, because 505550105513 - 2¹⁰ = 505550104489 is a prime.

It is not a weakly prime, because it can be changed into another prime (505550105713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252775052756 + 252775052757.

It is an arithmetic number, because the mean of its divisors is an integer number (252775052757).

Almost surely, 2^505550105513 is an apocalyptic number.

It is an amenable number.

505550105513 is a deficient number, since it is larger than the sum of its proper divisors (1).

505550105513 is an equidigital number, since it uses as much as digits as its factorization.

505550105513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46875, while the sum is 35.

The spelling of 505550105513 in words is "five hundred five billion, five hundred fifty million, one hundred five thousand, five hundred thirteen".