506257 has 4 divisors (see below), whose sum is σ = 509236. Its totient is φ = 503280.

The previous prime is 506251. The next prime is 506263. The reversal of 506257 is 752605.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (506251) and next prime (506263).

It can be written as a sum of positive squares in 2 ways, for example, as 147456 + 358801 = 384^2 + 599^2 .

It is a cyclic number.

It is not a de Polignac number, because 506257 - 2¹¹ = 504209 is a prime.

It is a Duffinian number.

506257 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506251) 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, 1218 + ... + 1579.

It is an arithmetic number, because the mean of its divisors is an integer number (127309).

2⁵⁰⁶²⁵⁷ is an apocalyptic number.

It is an amenable number.

506257 is a deficient number, since it is larger than the sum of its proper divisors (2979).

506257 is a wasteful number, since it uses less digits than its factorization.

506257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978.

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 506257 is about 711.5173926195. The cubic root of 506257 is about 79.6997600258.

The spelling of 506257 in words is "five hundred six thousand, two hundred fifty-seven".