564226322500 has 135 divisors (see below), whose sum is σ = 1255832983713. Its totient is φ = 221739480000.

The previous prime is 564226322477. The next prime is 564226322501. The reversal of 564226322500 is 5223622465.

The square root of 564226322500 is 751150.

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

It can be written as a sum of positive squares in 7 ways, for example, as 546413683204 + 17812639296 = 739198^2 + 133464^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 564226322500.

It is not an unprimeable number, because it can be changed into a prime (564226322501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3117272410 + ... + 3117272590.

Almost surely, 2^564226322500 is an apocalyptic number.

564226322500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

564226322500 is the 751150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564226322500

564226322500 is an abundant number, since it is smaller than the sum of its proper divisors (691606661213).

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

564226322500 is an frugal number, since it uses more digits than its factorization.

564226322500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 564226322500 its reverse (5223622465), we get a palindrome (569449944965).

The spelling of 564226322500 in words is "five hundred sixty-four billion, two hundred twenty-six million, three hundred twenty-two thousand, five hundred".