506525 has 6 divisors (see below), whose sum is σ = 628122. Its totient is φ = 405200.

The previous prime is 506507. The next prime is 506531. The reversal of 506525 is 525605.

It can be written as a sum of positive squares in 3 ways, for example, as 3844 + 502681 = 62^2 + 709^2 .

It is not a de Polignac number, because 506525 - 2⁶ = 506461 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 506525.

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 506525.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10106 + ... + 10155.

It is an arithmetic number, because the mean of its divisors is an integer number (104687).

2⁵⁰⁶⁵²⁵ is an apocalyptic number.

It is an amenable number.

506525 is a deficient number, since it is larger than the sum of its proper divisors (121597).

506525 is a wasteful number, since it uses less digits than its factorization.

506525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20271 (or 20266 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 506525 is about 711.7056976026. The cubic root of 506525 is about 79.7138212422.

The spelling of 506525 in words is "five hundred six thousand, five hundred twenty-five".