517112000101 has 2 divisors, whose sum is σ = 517112000102. Its totient is φ = 517112000100.

The previous prime is 517112000011. The next prime is 517112000129. The reversal of 517112000101 is 101000211715.

Together with previous prime (517112000011) 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., 514879437601 + 2232562500 = 717551^2 + 47250^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-517112000101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (517112001101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258556000050 + 258556000051.

It is an arithmetic number, because the mean of its divisors is an integer number (258556000051).

Almost surely, 2^517112000101 is an apocalyptic number.

It is an amenable number.

517112000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

517112000101 is an equidigital number, since it uses as much as digits as its factorization.

517112000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70, while the sum is 19.

Adding to 517112000101 its reverse (101000211715), we get a palindrome (618112211816).

The spelling of 517112000101 in words is "five hundred seventeen billion, one hundred twelve million, one hundred one", and thus it is an aban number.