510825 has 36 divisors (see below), whose sum is σ = 989520. Its totient is φ = 231840.

The previous prime is 510823. The next prime is 510827. The reversal of 510825 is 528015.

It is an interprime number because it is at equal distance from previous prime (510823) and next prime (510827).

It is not a de Polignac number, because 510825 - 2¹ = 510823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (510823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3606 + ... + 3744.

2⁵¹⁰⁸²⁵ is an apocalyptic number.

It is an amenable number.

510825 is a deficient number, since it is larger than the sum of its proper divisors (478695).

510825 is a wasteful number, since it uses less digits than its factorization.

510825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 510825 is about 714.7202249832. The cubic root of 510825 is about 79.9387552087.

Adding to 510825 its product of nonzero digits (400), we get a square (511225 = 715²).

The spelling of 510825 in words is "five hundred ten thousand, eight hundred twenty-five".