506557 has 4 divisors (see below), whose sum is σ = 507996. Its totient is φ = 505120.

The previous prime is 506551. The next prime is 506563. The reversal of 506557 is 755605.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 755605 = 5 ⋅151121.

It is an interprime number because it is at equal distance from previous prime (506551) and next prime (506563).

It can be written as a sum of positive squares in 2 ways, for example, as 63001 + 443556 = 251^2 + 666^2 .

It is a cyclic number.

It is not a de Polignac number, because 506557 - 2¹⁵ = 473789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506551) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 207 + ... + 1027.

It is an arithmetic number, because the mean of its divisors is an integer number (126999).

2⁵⁰⁶⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

506557 is a deficient number, since it is larger than the sum of its proper divisors (1439).

506557 is an equidigital number, since it uses as much as digits as its factorization.

506557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438.

The product of its (nonzero) digits is 5250, while the sum is 28.

The square root of 506557 is about 711.7281784502. The cubic root of 506557 is about 79.7154998619.

The spelling of 506557 in words is "five hundred six thousand, five hundred fifty-seven".