506111606165 has 32 divisors (see below), whose sum is σ = 665405072640. Its totient is φ = 366494502400.

The previous prime is 506111606131. The next prime is 506111606171. The reversal of 506111606165 is 561606111605.

It is not a de Polignac number, because 506111606165 - 2¹⁶ = 506111540629 is a prime.

It is a super-2 number, since 2×506111606165² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 27317105 + ... + 27335625.

It is an arithmetic number, because the mean of its divisors is an integer number (20793908520).

Almost surely, 2^506111606165 is an apocalyptic number.

506111606165 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506111606165 is a deficient number, since it is larger than the sum of its proper divisors (159293466475).

506111606165 is a wasteful number, since it uses less digits than its factorization.

506111606165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20653.

The product of its (nonzero) digits is 32400, while the sum is 38.

The spelling of 506111606165 in words is "five hundred six billion, one hundred eleven million, six hundred six thousand, one hundred sixty-five".