517114101017123 has 16 divisors (see below), whose sum is σ = 558474982965216. Its totient is φ = 477025427888640.

The previous prime is 517114101017099. The next prime is 517114101017147. The reversal of 517114101017123 is 321710101411715.

It is an interprime number because it is at equal distance from previous prime (517114101017099) and next prime (517114101017147).

It is a cyclic number.

It is not a de Polignac number, because 517114101017123 - 2¹⁰ = 517114101016099 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (517114101217123) 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 in 15 ways as a sum of consecutive naturals, for example, 880737536 + ... + 881324477.

It is an arithmetic number, because the mean of its divisors is an integer number (34904686435326).

Almost surely, 2^{517114101017123} is an apocalyptic number.

517114101017123 is a deficient number, since it is larger than the sum of its proper divisors (41360881948093).

517114101017123 is a wasteful number, since it uses less digits than its factorization.

517114101017123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762062374.

The product of its (nonzero) digits is 5880, while the sum is 35.

Adding to 517114101017123 its reverse (321710101411715), we get a palindrome (838824202428838).

The spelling of 517114101017123 in words is "five hundred seventeen trillion, one hundred fourteen billion, one hundred one million, seventeen thousand, one hundred twenty-three".