517120017 has 32 divisors (see below), whose sum is σ = 767078400. Its totient is φ = 308385792.

The previous prime is 517120001. The next prime is 517120027. The reversal of 517120017 is 710021715.

It is a happy number.

It is not a de Polignac number, because 517120017 - 2⁴ = 517120001 is a prime.

It is a super-2 number, since 2×517120017² = 534826223964160578, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (517120027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101073 + ... + 106065.

It is an arithmetic number, because the mean of its divisors is an integer number (23971200).

Almost surely, 2^517120017 is an apocalyptic number.

517120017 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

517120017 is a deficient number, since it is larger than the sum of its proper divisors (249958383).

517120017 is a wasteful number, since it uses less digits than its factorization.

517120017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5117.

The product of its (nonzero) digits is 490, while the sum is 24.

The square root of 517120017 is about 22740.2730194692. The cubic root of 517120017 is about 802.6578356293.

The spelling of 517120017 in words is "five hundred seventeen million, one hundred twenty thousand, seventeen".