8329578982201 has 9 divisors (see below), whose sum is σ = 8361438401901. Its totient is φ = 8297840529504.

The previous prime is 8329578982177. The next prime is 8329578982261. The reversal of 8329578982201 is 1022898759238.

The square root of 8329578982201 is 2886101.

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

It can be written as a sum of positive squares in 4 ways, for example, as 584156018601 + 7745422963600 = 764301^2 + 2783060^2 .

It is not a de Polignac number, because 8329578982201 - 2²³ = 8329570593593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8329578982261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 776355805 + ... + 776366533.

Almost surely, 2^{8329578982201} is an apocalyptic number.

8329578982201 is the 2886101-st square number.

8329578982201 is the 1443051-st centered octagonal number.

It is an amenable number.

8329578982201 is a deficient number, since it is larger than the sum of its proper divisors (31859419700).

8329578982201 is an frugal number, since it uses more digits than its factorization.

8329578982201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21996 (or 10998 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 64.

Multiplying 8329578982201 by its sum of digits (64), we get a square (533093054860864 = 23088808²).

The spelling of 8329578982201 in words is "eight trillion, three hundred twenty-nine billion, five hundred seventy-eight million, nine hundred eighty-two thousand, two hundred one".