506516257 has 4 divisors (see below), whose sum is σ = 545479060. Its totient is φ = 467553456.

The previous prime is 506516251. The next prime is 506516293. The reversal of 506516257 is 752615605.

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

It can be written as a sum of positive squares in 2 ways, for example, as 349540416 + 156975841 = 18696^2 + 12529^2 .

It is a cyclic number.

It is not a de Polignac number, because 506516257 - 2¹¹ = 506514209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506516251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19481382 + ... + 19481407.

It is an arithmetic number, because the mean of its divisors is an integer number (136369765).

Almost surely, 2^506516257 is an apocalyptic number.

It is an amenable number.

506516257 is a deficient number, since it is larger than the sum of its proper divisors (38962803).

506516257 is a wasteful number, since it uses less digits than its factorization.

506516257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38962802.

The product of its (nonzero) digits is 63000, while the sum is 37.

The square root of 506516257 is about 22505.9160444537. The cubic root of 506516257 is about 797.1336259951.

The spelling of 506516257 in words is "five hundred six million, five hundred sixteen thousand, two hundred fifty-seven".