509525 has 12 divisors (see below), whose sum is σ = 641700. Its totient is φ = 401280.

The previous prime is 509521. The next prime is 509543. The reversal of 509525 is 525905.

It can be written as a sum of positive squares in 6 ways, for example, as 1156 + 508369 = 34^2 + 713^2 .

It is not a de Polignac number, because 509525 - 2² = 509521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 509494 and 509503.

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 509525.

It is not an unprimeable number, because it can be changed into a prime (509521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2111 + ... + 2339.

It is an arithmetic number, because the mean of its divisors is an integer number (53475).

2⁵⁰⁹⁵²⁵ is an apocalyptic number.

It is an amenable number.

509525 is a deficient number, since it is larger than the sum of its proper divisors (132175).

509525 is a wasteful number, since it uses less digits than its factorization.

509525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 26.

The square root of 509525 is about 713.8101988624. The cubic root of 509525 is about 79.8708854801.

The spelling of 509525 in words is "five hundred nine thousand, five hundred twenty-five".