517215072105 has 12 divisors (see below), whose sum is σ = 896506125060. Its totient is φ = 275848038432.

The previous prime is 517215072097. The next prime is 517215072139. The reversal of 517215072105 is 501270512715.

517215072105 is a `hidden beast` number, since 517 + 21 + 50 + 72 + 1 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84457659456 + 432757412649 = 290616^2 + 657843^2 .

It is not a de Polignac number, because 517215072105 - 2³ = 517215072097 is a prime.

It is a super-2 number, since 2×517215072105² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 517215072105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5746834090 + ... + 5746834179.

It is an arithmetic number, because the mean of its divisors is an integer number (74708843755).

Almost surely, 2^517215072105 is an apocalyptic number.

It is an amenable number.

517215072105 is a deficient number, since it is larger than the sum of its proper divisors (379291052955).

517215072105 is a wasteful number, since it uses less digits than its factorization.

517215072105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11493668280 (or 11493668277 counting only the distinct ones).

The product of its (nonzero) digits is 24500, while the sum is 36.

The spelling of 517215072105 in words is "five hundred seventeen billion, two hundred fifteen million, seventy-two thousand, one hundred five".