516125 has 8 divisors (see below), whose sum is σ = 644280. Its totient is φ = 412800.

The previous prime is 516091. The next prime is 516127. The reversal of 516125 is 521615.

It can be written as a sum of positive squares in 4 ways, for example, as 17689 + 498436 = 133^2 + 706^2 .

It is a de Polignac number, because none of the positive numbers 2^k-516125 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 516097 and 516106.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516125.

It is not an unprimeable number, because it can be changed into a prime (516127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1940 + ... + 2189.

It is an arithmetic number, because the mean of its divisors is an integer number (80535).

2⁵¹⁶¹²⁵ is an apocalyptic number.

It is an amenable number.

516125 is a deficient number, since it is larger than the sum of its proper divisors (128155).

516125 is an equidigital number, since it uses as much as digits as its factorization.

516125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144 (or 4134 counting only the distinct ones).

The product of its digits is 300, while the sum is 20.

The square root of 516125 is about 718.4184017688. The cubic root of 516125 is about 80.2142693457.

The spelling of 516125 in words is "five hundred sixteen thousand, one hundred twenty-five".