506601 has 16 divisors (see below), whose sum is σ = 777600. Its totient is φ = 325584.

The previous prime is 506599. The next prime is 506609. The reversal of 506601 is 106605.

506601 is a `hidden beast` number, since 5 + 0 + 660 + 1 = 666.

It is not a de Polignac number, because 506601 - 2¹ = 506599 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460 + ... + 1106.

It is an arithmetic number, because the mean of its divisors is an integer number (48600).

2⁵⁰⁶⁶⁰¹ is an apocalyptic number.

It is an amenable number.

506601 is a deficient number, since it is larger than the sum of its proper divisors (270999).

506601 is a wasteful number, since it uses less digits than its factorization.

506601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 506601 is about 711.7590884562. The cubic root of 506601 is about 79.7178078486.

The spelling of 506601 in words is "five hundred six thousand, six hundred one".