508005 has 32 divisors (see below), whose sum is σ = 933120. Its totient is φ = 262080.

The previous prime is 507979. The next prime is 508009. The reversal of 508005 is 500805.

508005 = T₄₀ + T₄₁ + ... + T₁₄₅.

It is not a de Polignac number, because 508005 - 2¹⁶ = 442469 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 (508009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7120 + ... + 7190.

It is an arithmetic number, because the mean of its divisors is an integer number (29160).

2⁵⁰⁸⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

508005 is a deficient number, since it is larger than the sum of its proper divisors (425115).

508005 is a wasteful number, since it uses less digits than its factorization.

508005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 508005 is about 712.7446948242. The cubic root of 508005 is about 79.7913835459.

It can be divided in two parts, 50800 and 5, that added together give a palindrome (50805).

The spelling of 508005 in words is "five hundred eight thousand, five".