522252 has 36 divisors (see below), whose sum is σ = 1343160. Its totient is φ = 171072.

The previous prime is 522251. The next prime is 522259. The reversal of 522252 is 252225.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 5² + 2 + 2⁴ + 2⁹ + 5⁸ + 2¹⁷ .

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 522252.

It is not an unprimeable number, because it can be changed into a prime (522251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3123 + ... + 3285.

It is an arithmetic number, because the mean of its divisors is an integer number (37310).

2⁵²²²⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 522252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671580).

522252 is an abundant number, since it is smaller than the sum of its proper divisors (820908).

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

522252 is a wasteful number, since it uses less digits than its factorization.

522252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 257 counting only the distinct ones).

The product of its digits is 400, while the sum is 18.

The square root of 522252 is about 722.6700491926. The cubic root of 522252 is about 80.5304335632.

Adding to 522252 its reverse (252225), we get a palindrome (774477).

It can be divided in two parts, 52 and 2252, that added together give a square (2304 = 48²).

The spelling of 522252 in words is "five hundred twenty-two thousand, two hundred fifty-two".