516128 has 18 divisors (see below), whose sum is σ = 1024191. Its totient is φ = 256032.

The previous prime is 516127. The next prime is 516151. The reversal of 516128 is 821615.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 258064 + 258064 = 508^2 + 508^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=508.

It is a super-2 number, since 2×516128² = 532776224768, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (516127) 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 in 2 ways as a sum of consecutive naturals, for example, 4001 + ... + 4127.

2⁵¹⁶¹²⁸ is an apocalyptic number.

It is an amenable number.

516128 is a deficient number, since it is larger than the sum of its proper divisors (508063).

516128 is an equidigital number, since it uses as much as digits as its factorization.

516128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 129 counting only the distinct ones).

The product of its digits is 480, while the sum is 23.

The square root of 516128 is about 718.4204896855. The cubic root of 516128 is about 80.2144247618.

The spelling of 516128 in words is "five hundred sixteen thousand, one hundred twenty-eight".