506961 has 24 divisors (see below), whose sum is σ = 902720. Its totient is φ = 266976.

The previous prime is 506941. The next prime is 506963. The reversal of 506961 is 169605.

It is not a de Polignac number, because 506961 - 2⁵ = 506929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (506963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510 + ... + 1128.

2⁵⁰⁶⁹⁶¹ is an apocalyptic number.

It is an amenable number.

506961 is a deficient number, since it is larger than the sum of its proper divisors (395759).

506961 is a wasteful number, since it uses less digits than its factorization.

506961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 506961 is about 712.0119381022. The cubic root of 506961 is about 79.7366863583.

The spelling of 506961 in words is "five hundred six thousand, nine hundred sixty-one".