528125 has 18 divisors (see below), whose sum is σ = 714798. Its totient is φ = 390000.
The previous prime is 528107. The next prime is 528127. The reversal of 528125 is 521825.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 9 ways, for example, as 465124 + 63001 = 682^2 + 251^2 .
It is not a de Polignac number, because 528125 - 28 = 527869 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 528125.
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 528125.
It is not an unprimeable number, because it can be changed into a prime (528127) 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 17 ways as a sum of consecutive naturals, for example, 40619 + ... + 40631.
It is an arithmetic number, because the mean of its divisors is an integer number (39711).
528125 is a Friedman number, since it can be written as (21-8)^2*5^5, using all its digits and the basic arithmetic operations.
2528125 is an apocalyptic number.
It is an amenable number.
528125 is a deficient number, since it is larger than the sum of its proper divisors (186673).
528125 is an frugal number, since it uses more digits than its factorization.
528125 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 51 (or 18 counting only the distinct ones).
The product of its digits is 800, while the sum is 23.
The square root of 528125 is about 726.7220926874. The cubic root of 528125 is about 80.8311781289.
It can be divided in two parts, 52 and 8125, that multiplied together give a square (422500 = 6502).
The spelling of 528125 in words is "five hundred twenty-eight thousand, one hundred twenty-five".
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