522000 has 120 divisors (see below), whose sum is σ = 1886040. Its totient is φ = 134400.

The previous prime is 521999. The next prime is 522017. The reversal of 522000 is 225.

522000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 501264 = 144^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 10.

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 522000.

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 23 ways as a sum of consecutive naturals, for example, 17986 + ... + 18014.

It is an arithmetic number, because the mean of its divisors is an integer number (15717).

2⁵²²⁰⁰⁰ is an apocalyptic number.

522000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943020).

522000 is an abundant number, since it is smaller than the sum of its proper divisors (1364040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

522000 is a wasteful number, since it uses less digits than its factorization.

522000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 522000 is about 722.4956747275. The cubic root of 522000 is about 80.5174788120.

Adding to 522000 its reverse (225), we get a palindrome (522225).

The spelling of 522000 in words is "five hundred twenty-two thousand".