506511 has 12 divisors (see below), whose sum is σ = 738192. Its totient is φ = 334656.

The previous prime is 506507. The next prime is 506531. The reversal of 506511 is 115605.

It is not a de Polignac number, because 506511 - 2² = 506507 is a prime.

506511 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1335 + ... + 1671.

It is an arithmetic number, because the mean of its divisors is an integer number (61516).

2⁵⁰⁶⁵¹¹ is an apocalyptic number.

506511 is a deficient number, since it is larger than the sum of its proper divisors (231681).

506511 is a wasteful number, since it uses less digits than its factorization.

506511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 506511 is about 711.6958620085. The cubic root of 506511 is about 79.7130868238.

It can be divided in two parts, 50 and 6511, that added together give a 8-th power (6561 = 3⁸).

The spelling of 506511 in words is "five hundred six thousand, five hundred eleven".