506561 has 4 divisors (see below), whose sum is σ = 552624. Its totient is φ = 460500.

The previous prime is 506551. The next prime is 506563. The reversal of 506561 is 165605.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 506561 - 2¹⁰ = 505537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506563) 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 3 ways as a sum of consecutive naturals, for example, 23015 + ... + 23036.

It is an arithmetic number, because the mean of its divisors is an integer number (138156).

2⁵⁰⁶⁵⁶¹ is an apocalyptic number.

It is an amenable number.

506561 is a deficient number, since it is larger than the sum of its proper divisors (46063).

506561 is a wasteful number, since it uses less digits than its factorization.

506561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46062.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 506561 is about 711.7309885062. The cubic root of 506561 is about 79.7157096844.

The spelling of 506561 in words is "five hundred six thousand, five hundred sixty-one".