506125 has 8 divisors (see below), whose sum is σ = 631800. Its totient is φ = 404800.

The previous prime is 506119. The next prime is 506131. The reversal of 506125 is 521605.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (506119) and next prime (506131).

It can be written as a sum of positive squares in 4 ways, for example, as 58564 + 447561 = 242^2 + 669^2 .

It is not a de Polignac number, because 506125 - 2⁹ = 505613 is a prime.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1900 + ... + 2149.

It is an arithmetic number, because the mean of its divisors is an integer number (78975).

2⁵⁰⁶¹²⁵ is an apocalyptic number.

It is an amenable number.

506125 is a deficient number, since it is larger than the sum of its proper divisors (125675).

506125 is an equidigital number, since it uses as much as digits as its factorization.

506125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 506125 is about 711.4246270688. The cubic root of 506125 is about 79.6928325279.

The spelling of 506125 in words is "five hundred six thousand, one hundred twenty-five".