517217742016313 has 8 divisors (see below), whose sum is σ = 558458039989248. Its totient is φ = 476185203731664.

The previous prime is 517217742016291. The next prime is 517217742016333. The reversal of 517217742016313 is 313610247712715.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 517217742016313 - 2¹² = 517217742012217 is a prime.

It is a super-3 number, since 3×517217742016313³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (517217742016333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51939916895 + ... + 51939926852.

It is an arithmetic number, because the mean of its divisors is an integer number (69807254998656).

Almost surely, 2^{517217742016313} is an apocalyptic number.

It is an amenable number.

517217742016313 is a deficient number, since it is larger than the sum of its proper divisors (41240297972935).

517217742016313 is a wasteful number, since it uses less digits than its factorization.

517217742016313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103879844143.

The product of its (nonzero) digits is 1481760, while the sum is 50.

The spelling of 517217742016313 in words is "five hundred seventeen trillion, two hundred seventeen billion, seven hundred forty-two million, sixteen thousand, three hundred thirteen".