506512 has 10 divisors (see below), whose sum is σ = 981398. Its totient is φ = 253248.

The previous prime is 506507. The next prime is 506531. The reversal of 506512 is 215605.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 430336 + 76176 = 656^2 + 276^2 .

It is a super-2 number, since 2×506512² = 513108812288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 506512.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15813 + ... + 15844.

2⁵⁰⁶⁵¹² is an apocalyptic number.

It is an amenable number.

506512 is a deficient number, since it is larger than the sum of its proper divisors (474886).

506512 is a wasteful number, since it uses less digits than its factorization.

506512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31665 (or 31659 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 506512 is about 711.6965645554. The cubic root of 506512 is about 79.7131392827.

It can be divided in two parts, 50651 and 2, that added together give a cube (50653 = 37³).

The spelling of 506512 in words is "five hundred six thousand, five hundred twelve".