522752 has 20 divisors (see below), whose sum is σ = 1045506. Its totient is φ = 261120.

The previous prime is 522749. The next prime is 522757. The reversal of 522752 is 257225.

It can be written as a sum of positive squares in only one way, i.e., 430336 + 92416 = 656^2 + 304^2 .

522752 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (522757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2 + ... + 1022.

2⁵²²⁷⁵² 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 522752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522753).

522752 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

522752 is an equidigital number, since it uses as much as digits as its factorization.

522752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1023 counting only the distinct ones).

The product of its digits is 1400, while the sum is 23.

The square root of 522752 is about 723.0159057725. The cubic root of 522752 is about 80.5561251028.

Subtracting from 522752 its sum of digits (23), we obtain a square (522729 = 723²).

Adding to 522752 its reverse (257225), we get a palindrome (779977).

The spelling of 522752 in words is "five hundred twenty-two thousand, seven hundred fifty-two".