506025 has 36 divisors (see below), whose sum is σ = 981708. Its totient is φ = 247680.

The previous prime is 505979. The next prime is 506047. The reversal of 506025 is 520605.

It can be written as a sum of positive squares in 6 ways, for example, as 4761 + 501264 = 69^2 + 708^2 .

It is not a de Polignac number, because 506025 - 2⁶ = 505961 is a prime.

It is a super-2 number, since 2×506025² = 512122601250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 505989 and 506007.

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 506025.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2839 + ... + 3011.

2⁵⁰⁶⁰²⁵ is an apocalyptic number.

It is an amenable number.

506025 is a deficient number, since it is larger than the sum of its proper divisors (475683).

506025 is a wasteful number, since it uses less digits than its factorization.

506025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 506025 is about 711.3543420828. The cubic root of 506025 is about 79.6875836216.

The spelling of 506025 in words is "five hundred six thousand, twenty-five".