505105520034097 has 2 divisors, whose sum is σ = 505105520034098. Its totient is φ = 505105520034096.

The previous prime is 505105520034067. The next prime is 505105520034109. The reversal of 505105520034097 is 790430025501505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 449301617053696 + 55803902980401 = 21196736^2 + 7470201^2 .

It is a cyclic number.

It is not a de Polignac number, because 505105520034097 - 2⁷ = 505105520033969 is a prime.

It is not a weakly prime, because it can be changed into another prime (505105520034067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252552760017048 + 252552760017049.

It is an arithmetic number, because the mean of its divisors is an integer number (252552760017049).

Almost surely, 2^{505105520034097} is an apocalyptic number.

It is an amenable number.

505105520034097 is a deficient number, since it is larger than the sum of its proper divisors (1).

505105520034097 is an equidigital number, since it uses as much as digits as its factorization.

505105520034097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 945000, while the sum is 46.

The spelling of 505105520034097 in words is "five hundred five trillion, one hundred five billion, five hundred twenty million, thirty-four thousand, ninety-seven".