506005603442667 has 12 divisors (see below), whose sum is σ = 738432003192520. Its totient is φ = 333859367219328.

The previous prime is 506005603442593. The next prime is 506005603442707. The reversal of 506005603442667 is 766244306500605.

506005603442667 is a `hidden beast` number, since 5 + 0 + 6 + 0 + 0 + 5 + 603 + 4 + 4 + 26 + 6 + 7 = 666.

It is not a de Polignac number, because 506005603442667 - 2²⁰ = 506005602394091 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506005603442767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 289808477617 + ... + 289808479362.

Almost surely, 2^{506005603442667} is an apocalyptic number.

506005603442667 is a deficient number, since it is larger than the sum of its proper divisors (232426399749853).

506005603442667 is a wasteful number, since it uses less digits than its factorization.

506005603442667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579616957082 (or 579616957079 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 506005603442667 in words is "five hundred six trillion, five billion, six hundred three million, four hundred forty-two thousand, six hundred sixty-seven".