510525 has 18 divisors (see below), whose sum is σ = 914810. Its totient is φ = 272160.

The previous prime is 510481. The next prime is 510529. The reversal of 510525 is 525015.

510525 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 3 ways, for example, as 729 + 509796 = 27^2 + 714^2 .

It is not a de Polignac number, because 510525 - 2¹¹ = 508477 is a prime.

510525 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 510498 and 510507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510529) 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, 910 + ... + 1359.

2⁵¹⁰⁵²⁵ is an apocalyptic number.

It is an amenable number.

510525 is a deficient number, since it is larger than the sum of its proper divisors (404285).

510525 is a wasteful number, since it uses less digits than its factorization.

510525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 510525 is about 714.5103218289. The cubic root of 510525 is about 79.9231031930.

It can be divided in two parts, 510 and 525, that added together give a triangular number (1035 = T₄₅).

The spelling of 510525 in words is "five hundred ten thousand, five hundred twenty-five".