505610000117 has 2 divisors, whose sum is σ = 505610000118. Its totient is φ = 505610000116.

The previous prime is 505610000033. The next prime is 505610000123. The reversal of 505610000117 is 711000016505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 364479045841 + 141130954276 = 603721^2 + 375674^2 .

It is a cyclic number.

It is not a de Polignac number, because 505610000117 - 2¹⁰ = 505609999093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505610000317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252805000058 + 252805000059.

It is an arithmetic number, because the mean of its divisors is an integer number (252805000059).

Almost surely, 2^505610000117 is an apocalyptic number.

It is an amenable number.

505610000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

505610000117 is an equidigital number, since it uses as much as digits as its factorization.

505610000117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1050, while the sum is 26.

The spelling of 505610000117 in words is "five hundred five billion, six hundred ten million, one hundred seventeen", and thus it is an aban number.