505125 has 24 divisors (see below), whose sum is σ = 912600. Its totient is φ = 268800.

The previous prime is 505123. The next prime is 505129. The reversal of 505125 is 521505.

It can be written as a sum of positive squares in 4 ways, for example, as 12321 + 492804 = 111^2 + 702^2 .

It is not a de Polignac number, because 505125 - 2¹ = 505123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505098 and 505107.

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 505125.

It is not an unprimeable number, because it can be changed into a prime (505123) 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 23 ways as a sum of consecutive naturals, for example, 901 + ... + 1349.

It is an arithmetic number, because the mean of its divisors is an integer number (38025).

2⁵⁰⁵¹²⁵ is an apocalyptic number.

It is an amenable number.

505125 is a deficient number, since it is larger than the sum of its proper divisors (407475).

505125 is a wasteful number, since it uses less digits than its factorization.

505125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 457 counting only the distinct ones).

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

The square root of 505125 is about 710.7214644289. The cubic root of 505125 is about 79.6403123166.

It can be divided in two parts, 505 and 125, that added together give a triangular number (630 = T₃₅).

The spelling of 505125 in words is "five hundred five thousand, one hundred twenty-five".