522045216 has 576 divisors, whose sum is σ = 2068416000. Its totient is φ = 126282240.

The previous prime is 522045187. The next prime is 522045217. The reversal of 522045216 is 612540225.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 522045216.

It is not an unprimeable number, because it can be changed into a prime (522045217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8848195 + ... + 8848253.

It is an arithmetic number, because the mean of its divisors is an integer number (3591000).

Almost surely, 2^522045216 is an apocalyptic number.

522045216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 522045216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034208000).

522045216 is an abundant number, since it is smaller than the sum of its proper divisors (1546370784).

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

522045216 is a wasteful number, since it uses less digits than its factorization.

522045216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 522045216 is about 22848.3088214423. The cubic root of 522045216 is about 805.1980357139.

The spelling of 522045216 in words is "five hundred twenty-two million, forty-five thousand, two hundred sixteen".