522512 has 30 divisors (see below), whose sum is σ = 1084938. Its totient is φ = 243712.

The previous prime is 522497. The next prime is 522517. The reversal of 522512 is 215225.

It can be written as a sum of positive squares in 3 ways, for example, as 65536 + 456976 = 256^2 + 676^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (522517) by changing a digit.

522512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4568 + ... + 4680.

2⁵²²⁵¹² 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 522512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542469).

522512 is an abundant number, since it is smaller than the sum of its proper divisors (562426).

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

522512 is a wasteful number, since it uses less digits than its factorization.

522512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 132 counting only the distinct ones).

The product of its digits is 200, while the sum is 17.

The square root of 522512 is about 722.8499152660. The cubic root of 522512 is about 80.5437952092.

Adding to 522512 its reverse (215225), we get a palindrome (737737).

The spelling of 522512 in words is "five hundred twenty-two thousand, five hundred twelve".