516352 has 18 divisors (see below), whose sum is σ = 1031198. Its totient is φ = 258048.

The previous prime is 516349. The next prime is 516359. The reversal of 516352 is 253615.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 495616 + 20736 = 704^2 + 144^2 .

It is not an unprimeable number, because it can be changed into a prime (516359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 753 + ... + 1264.

2⁵¹⁶³⁵² is an apocalyptic number.

It is an amenable number.

516352 is a deficient number, since it is larger than the sum of its proper divisors (514846).

516352 is an equidigital number, since it uses as much as digits as its factorization.

516352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2019 counting only the distinct ones).

The product of its digits is 900, while the sum is 22.

The square root of 516352 is about 718.5763703323. The cubic root of 516352 is about 80.2260274601.

Adding to 516352 its reverse (253615), we get a palindrome (769967).

It can be divided in two parts, 516 and 352, that added together give a palindrome (868).

The spelling of 516352 in words is "five hundred sixteen thousand, three hundred fifty-two".