522223020322225 has 48 divisors (see below), whose sum is σ = 685985293100016. Its totient is φ = 393009878016000.

The previous prime is 522223020322187. The next prime is 522223020322243.

522223020322225 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 24 ways, for example, as 492406440594289 + 29816579727936 = 22190233^2 + 5460456^2 .

It is not a de Polignac number, because 522223020322225 - 2¹³ = 522223020314033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17293855827 + ... + 17293886023.

It is an arithmetic number, because the mean of its divisors is an integer number (14291360272917).

Almost surely, 2^{522223020322225} is an apocalyptic number.

It is an amenable number.

522223020322225 is a deficient number, since it is larger than the sum of its proper divisors (163762272777791).

522223020322225 is a wasteful number, since it uses less digits than its factorization.

522223020322225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48886 (or 48881 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

The spelling of 522223020322225 in words is "five hundred twenty-two trillion, two hundred twenty-three billion, twenty million, three hundred twenty-two thousand, two hundred twenty-five".