512968 has 16 divisors (see below), whose sum is σ = 988380. Its totient is φ = 249408.

The previous prime is 512959. The next prime is 512977. The reversal of 512968 is 869215.

It is an interprime number because it is at equal distance from previous prime (512959) and next prime (512977).

It can be written as a sum of positive squares in 2 ways, for example, as 492804 + 20164 = 702^2 + 142^2 .

It is a zygodrome in base 3.

It is an unprimeable number.

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, 571 + ... + 1162.

2⁵¹²⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

512968 is a deficient number, since it is larger than the sum of its proper divisors (475412).

512968 is a wasteful number, since it uses less digits than its factorization.

512968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1772 counting only the distinct ones).

The product of its digits is 4320, while the sum is 31.

The square root of 512968 is about 716.2178439553. The cubic root of 512968 is about 80.0503849270.

It can be divided in two parts, 512 and 968, that multiplied together give a square (495616 = 704²).

The spelling of 512968 in words is "five hundred twelve thousand, nine hundred sixty-eight".