506309 has 8 divisors (see below), whose sum is σ = 530712. Its totient is φ = 482560.

The previous prime is 506291. The next prime is 506327. The reversal of 506309 is 903605.

506309 = T₂₂ + T₂₃ + ... + T₁₄₄.

506309 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (506291) and next prime (506327).

It can be written as a sum of positive squares in 4 ways, for example, as 2209 + 504100 = 47^2 + 710^2 .

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 506309 - 2¹⁶ = 440773 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506329) 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, 2057 + ... + 2289.

It is an arithmetic number, because the mean of its divisors is an integer number (66339).

2⁵⁰⁶³⁰⁹ is an apocalyptic number.

It is an amenable number.

506309 is a deficient number, since it is larger than the sum of its proper divisors (24403).

506309 is a wasteful number, since it uses less digits than its factorization.

506309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327.

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 506309 is about 711.5539333037. The cubic root of 506309 is about 79.7024887094.

The spelling of 506309 in words is "five hundred six thousand, three hundred nine".