506011832217 has 48 divisors (see below), whose sum is σ = 767593602048. Its totient is φ = 333066278160.

The previous prime is 506011832213. The next prime is 506011832251. The reversal of 506011832217 is 712238110605.

506011832217 is a `hidden beast` number, since 5 + 0 + 601 + 1 + 8 + 32 + 2 + 17 = 666.

It is not a de Polignac number, because 506011832217 - 2² = 506011832213 is a prime.

It is not an unprimeable number, because it can be changed into a prime (506011832213) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 35954292 + ... + 35968362.

It is an arithmetic number, because the mean of its divisors is an integer number (15991533376).

Almost surely, 2^506011832217 is an apocalyptic number.

It is an amenable number.

506011832217 is a deficient number, since it is larger than the sum of its proper divisors (261581769831).

506011832217 is a wasteful number, since it uses less digits than its factorization.

506011832217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15952 (or 15940 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 506011832217 in words is "five hundred six billion, eleven million, eight hundred thirty-two thousand, two hundred seventeen".