516288 has 28 divisors (see below), whose sum is σ = 1366520. Its totient is φ = 172032.

The previous prime is 516283. The next prime is 516293. The reversal of 516288 is 882615.

It is an interprime number because it is at equal distance from previous prime (516283) and next prime (516293).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516288.

It is not an unprimeable number, because it can be changed into a prime (516283) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1153 + ... + 1536.

2⁵¹⁶²⁸⁸ is an apocalyptic number.

It is an amenable number.

516288 is an abundant number, since it is smaller than the sum of its proper divisors (850232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

516288 is a wasteful number, since it uses less digits than its factorization.

516288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2694 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 516288 is about 718.5318364554. The cubic root of 516288 is about 80.2227127459. Note that the first 3 decimals are identical.

The spelling of 516288 in words is "five hundred sixteen thousand, two hundred eighty-eight".