• 522 can be written using four 4's:

• 522 is possibly the largest (the others being 1 and 21) such that

522 has 12 divisors (see below), whose sum is σ = 1170. Its totient is φ = 168.

The previous prime is 521. The next prime is 523. The reversal of 522 is 225.

522 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (521) and next prime (523).

It can be written as a sum of positive squares in only one way, i.e., 441 + 81 = 21^2 + 9^2 .

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

It is an Ulam number.

It is a plaindrome in base 7 and base 15.

It is a nialpdrome in base 9 and base 10.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 522.

It is not an unprimeable number, because it can be changed into a prime (521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4 + ... + 32.

It is a practical number, because each smaller number is the sum of distinct divisors of 522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585).

522 is an abundant number, since it is smaller than the sum of its proper divisors (648).

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

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

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

The sum of its prime factors is 37 (or 34 counting only the distinct ones).

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

The square root of 522 is about 22.8473193176. The cubic root of 522 is about 8.0517478812.

Multiplying 522 by its product of digits (20), we get a triangular number (10440 = T_{144}).

Adding to 522 its reverse (225), we get a palindrome (747).

It can be divided in two parts, 5 and 22, that added together give a cube (27 = 3^{3}).

The spelling of 522 in words is "five hundred twenty-two", and thus it is an aban number.

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