516506528 has 48 divisors (see below), whose sum is σ = 1031544360. Its totient is φ = 254555136.

The previous prime is 516506509. The next prime is 516506533. The reversal of 516506528 is 825605615.

It can be written as a sum of positive squares in 4 ways, for example, as 499433104 + 17073424 = 22348^2 + 4132^2 .

It is a super-2 number, since 2×516506528² = 533557986933229568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 516506491 and 516506500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1300826 + ... + 1301222.

Almost surely, 2^516506528 is an apocalyptic number.

It is an amenable number.

516506528 is a deficient number, since it is larger than the sum of its proper divisors (515037832).

516506528 is a wasteful number, since it uses less digits than its factorization.

516506528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 38.

The square root of 516506528 is about 22726.7799742946. The cubic root of 516506528 is about 802.3402970860.

The spelling of 516506528 in words is "five hundred sixteen million, five hundred six thousand, five hundred twenty-eight".