522285120 has 252 divisors, whose sum is σ = 2090304684. Its totient is φ = 119347200.

The previous prime is 522285077. The next prime is 522285121. The reversal of 522285120 is 21582225.

It can be written as a sum of positive squares in 2 ways, for example, as 199148544 + 323136576 = 14112^2 + 17976^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (522285121) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 139270 + ... + 142970.

Almost surely, 2^522285120 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 522285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045152342).

522285120 is an abundant number, since it is smaller than the sum of its proper divisors (1568019564).

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

522285120 is a wasteful number, since it uses less digits than its factorization.

522285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 522285120 is about 22853.5581474745. The cubic root of 522285120 is about 805.3213587779.

The spelling of 522285120 in words is "five hundred twenty-two million, two hundred eighty-five thousand, one hundred twenty".