517011612117 has 64 divisors (see below), whose sum is σ = 925709869056. Its totient is φ = 247877314560.

The previous prime is 517011612083. The next prime is 517011612127. The reversal of 517011612117 is 711216110715.

It is not a de Polignac number, because 517011612117 - 2⁷ = 517011611989 is a prime.

It is a super-2 number, since 2×517011612117² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517011612127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27326853 + ... + 27345765.

It is an arithmetic number, because the mean of its divisors is an integer number (14464216704).

Almost surely, 2^517011612117 is an apocalyptic number.

It is an amenable number.

517011612117 is a deficient number, since it is larger than the sum of its proper divisors (408698256939).

517011612117 is a wasteful number, since it uses less digits than its factorization.

517011612117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28050.

The product of its (nonzero) digits is 2940, while the sum is 33.

The spelling of 517011612117 in words is "five hundred seventeen billion, eleven million, six hundred twelve thousand, one hundred seventeen".