506305 has 8 divisors (see below), whose sum is σ = 613800. Its totient is φ = 400896.

The previous prime is 506291. The next prime is 506327. The reversal of 506305 is 503605.

It can be written as a sum of positive squares in 4 ways, for example, as 5041 + 501264 = 71^2 + 708^2 .

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 506305 - 2¹⁷ = 375233 is a prime.

506305 is a lucky number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81 + ... + 1009.

It is an arithmetic number, because the mean of its divisors is an integer number (76725).

2⁵⁰⁶³⁰⁵ is an apocalyptic number.

It is an amenable number.

506305 is a deficient number, since it is larger than the sum of its proper divisors (107495).

506305 is a wasteful number, since it uses less digits than its factorization.

506305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043.

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 506305 is about 711.5511225485. The cubic root of 506305 is about 79.7022788173.

The spelling of 506305 in words is "five hundred six thousand, three hundred five".