506 has 8 divisors (see below), whose sum is σ = 864. Its totient is φ = 220.

The previous prime is 503. The next prime is 509. The reversal of 506 is 605.

506 = 1² + 2² + ... + 11².

506 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (503) and next prime (509).

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

It is a Harshad number since it is a multiple of its sum of digits (11).

506 is an undulating number in base 14.

It is a Curzon number.

It is a plaindrome in base 13 and base 15.

It is a nialpdrome in base 8, base 9 and base 11.

It is not an unprimeable number, because it can be changed into a prime (503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11 + ... + 33.

It is an arithmetic number, because the mean of its divisors is an integer number (108).

2⁵⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 22×23.

506 is a deficient number, since it is larger than the sum of its proper divisors (358).

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

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

The sum of its prime factors is 36.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 506 is about 22.4944437584. The cubic root of 506 is about 7.9686271287.

Adding to 506 its reverse (605), we get a palindrome (1111).

Subtracting 506 from its reverse (605), we obtain a palindrome (99).

It can be divided in two parts, 50 and 6, that multiplied together give a triangular number (300 = T₂₄).

The spelling of 506 in words is "five hundred six", and thus it is an aban number and an oban number.