522221577201 has 9 divisors (see below), whose sum is σ = 754323187449. Its totient is φ = 348146272836.

The previous prime is 522221577193. The next prime is 522221577203. The reversal of 522221577201 is 102775122225.

The square root of 522221577201 is 722649.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 522221577201 - 2³ = 522221577193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (522221577203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2047506 + ... + 2288388.

Almost surely, 2^522221577201 is an apocalyptic number.

522221577201 is the 722649-th square number.

522221577201 is the 361325-th centered octagonal number.

It is an amenable number.

522221577201 is a deficient number, since it is larger than the sum of its proper divisors (232101610248).

522221577201 is an frugal number, since it uses more digits than its factorization.

522221577201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481772 (or 240886 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

Multiplying 522221577201 by its sum of digits (36), we get a square (18799976779236 = 4335894²).

Adding to 522221577201 its reverse (102775122225), we get a palindrome (624996699426).

The spelling of 522221577201 in words is "five hundred twenty-two billion, two hundred twenty-one million, five hundred seventy-seven thousand, two hundred one".