512752 has 20 divisors (see below), whose sum is σ = 1009360. Its totient is φ = 252288.

The previous prime is 512747. The next prime is 512761. The reversal of 512752 is 257215.

512752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×512752² = 525829227008, which contains 22 as substring.

It is a d-powerful number, because it can be written as 5³ + 1 + 7⁶ + 2⁸ + 5⁸ + 2¹² .

It is a congruent number.

It is an unprimeable number.

512752 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 949 + ... + 1387.

It is an arithmetic number, because the mean of its divisors is an integer number (50468).

2⁵¹²⁷⁵² is an apocalyptic number.

It is an amenable number.

512752 is a deficient number, since it is larger than the sum of its proper divisors (496608).

512752 is a wasteful number, since it uses less digits than its factorization.

512752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 514 counting only the distinct ones).

The product of its digits is 700, while the sum is 22.

The square root of 512752 is about 716.0670359680. The cubic root of 512752 is about 80.0391475070.

Adding to 512752 its reverse (257215), we get a palindrome (769967).

The spelling of 512752 in words is "five hundred twelve thousand, seven hundred fifty-two".