527125 has 8 divisors (see below), whose sum is σ = 658008. Its totient is φ = 421600.

The previous prime is 527123. The next prime is 527129. The reversal of 527125 is 521725.

It can be written as a sum of positive squares in 4 ways, for example, as 49 + 527076 = 7^2 + 726^2 .

It is not a de Polignac number, because 527125 - 2¹ = 527123 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 527096 and 527105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1984 + ... + 2233.

It is an arithmetic number, because the mean of its divisors is an integer number (82251).

2⁵²⁷¹²⁵ is an apocalyptic number.

It is an amenable number.

527125 is a deficient number, since it is larger than the sum of its proper divisors (130883).

527125 is an equidigital number, since it uses as much as digits as its factorization.

527125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232 (or 4222 counting only the distinct ones).

The product of its digits is 700, while the sum is 22.

The square root of 527125 is about 726.0337457722. The cubic root of 527125 is about 80.7801281884.

The spelling of 527125 in words is "five hundred twenty-seven thousand, one hundred twenty-five".