506801 has 8 divisors (see below), whose sum is σ = 532224. Its totient is φ = 482080.

The previous prime is 506797. The next prime is 506809. The reversal of 506801 is 108605.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506801 - 2² = 506797 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (506809) 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 7 ways as a sum of consecutive naturals, for example, 1796 + ... + 2058.

It is an arithmetic number, because the mean of its divisors is an integer number (66528).

2⁵⁰⁶⁸⁰¹ is an apocalyptic number.

It is an amenable number.

506801 is a deficient number, since it is larger than the sum of its proper divisors (25423).

506801 is a wasteful number, since it uses less digits than its factorization.

506801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 506801 is about 711.8995715689. The cubic root of 506801 is about 79.7282970133.

The spelling of 506801 in words is "five hundred six thousand, eight hundred one".