506001 has 8 divisors (see below), whose sum is σ = 679744. Its totient is φ = 334800.

The previous prime is 505979. The next prime is 506047. The reversal of 506001 is 100605.

506001 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 506001 - 2⁵ = 505969 is a prime.

It is a Duffinian number.

506001 is strictly pandigital in base 7.

506001 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (506071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106 + ... + 1011.

It is an arithmetic number, because the mean of its divisors is an integer number (84968).

2⁵⁰⁶⁰⁰¹ is an apocalyptic number.

It is an amenable number.

506001 is a deficient number, since it is larger than the sum of its proper divisors (173743).

506001 is a wasteful number, since it uses less digits than its factorization.

506001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 506001 is about 711.3374726527. The cubic root of 506001 is about 79.6863237812.

Adding to 506001 its reverse (100605), we get a palindrome (606606).

The spelling of 506001 in words is "five hundred six thousand, one".