516825 has 18 divisors (see below), whose sum is σ = 926094. Its totient is φ = 275520.

The previous prime is 516821. The next prime is 516829. The reversal of 516825 is 528615.

It is an interprime number because it is at equal distance from previous prime (516821) and next prime (516829).

It can be written as a sum of positive squares in 3 ways, for example, as 28224 + 488601 = 168^2 + 699^2 .

It is not a de Polignac number, because 516825 - 2² = 516821 is a prime.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516825.

It is not an unprimeable number, because it can be changed into a prime (516821) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 924 + ... + 1373.

2⁵¹⁶⁸²⁵ is an apocalyptic number.

It is an amenable number.

516825 is a deficient number, since it is larger than the sum of its proper divisors (409269).

516825 is a wasteful number, since it uses less digits than its factorization.

516825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2305 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 516825 is about 718.9054179793. The cubic root of 516825 is about 80.2505167813.

The spelling of 516825 in words is "five hundred sixteen thousand, eight hundred twenty-five".