506611 has 10 divisors (see below), whose sum is σ = 593812. Its totient is φ = 432180.

The previous prime is 506609. The next prime is 506629. The reversal of 506611 is 116605.

It is not a de Polignac number, because 506611 - 2¹ = 506609 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (506911) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2296 + ... + 2506.

2⁵⁰⁶⁶¹¹ is an apocalyptic number.

506611 is a deficient number, since it is larger than the sum of its proper divisors (87201).

506611 is an frugal number, since it uses more digits than its factorization.

506611 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 506611 is about 711.7661132704. The cubic root of 506611 is about 79.7183323724.

The spelling of 506611 in words is "five hundred six thousand, six hundred eleven".