564376562500 has 81 divisors (see below), whose sum is σ = 1236630714501. Its totient is φ = 225375000000.

The previous prime is 564376562489. The next prime is 564376562509. The reversal of 564376562500 is 5265673465.

The square root of 564376562500 is 751250.

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

It can be written as a sum of positive squares in 13 ways, for example, as 175958436676 + 388418125824 = 419474^2 + 623232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (564376562509) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 939062200 + ... + 939062800.

Almost surely, 2^564376562500 is an apocalyptic number.

564376562500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

564376562500 is the 751250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564376562500

564376562500 is an abundant number, since it is smaller than the sum of its proper divisors (672254152001).

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

564376562500 is an frugal number, since it uses more digits than its factorization.

564376562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 49.

Multiplying 564376562500 by its sum of digits (49), we get a square (27654451562500 = 5258750²).

The spelling of 564376562500 in words is "five hundred sixty-four billion, three hundred seventy-six million, five hundred sixty-two thousand, five hundred".