# 6561

## 6,561 is an odd composite number. It is composed of a single prime number multiplied by itself seven times.

What does the number 6561 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 9 divisors.

6561 is an odd composite number. It is composed of one distinct prime number multiplied by itself seven times. It has a total of nine divisors.

## Prime factorization of 6561:

### 38

(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 6561 from the Numbermatics database.

### Names of 6561

• Cardinal: 6561 can be written as Six thousand, five hundred sixty-one.

### Scientific notation

• Scientific notation: 6.561 × 103

### Factors of 6561

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 3

### Divisors of 6561

• Number of divisors d(n): 9
• Complete list of divisors:
• Sum of all divisors σ(n): 9841
• Sum of proper divisors (its aliquot sum) s(n): 3280
• 6561 is a deficient number, because the sum of its proper divisors (3280) is less than itself. Its deficiency is 3281

### Bases of 6561

• Binary: 11001101000012
• Base-36: 529

### Squares and roots of 6561

• 6561 squared (65612) is 43046721
• 6561 cubed (65613) is 282429536481
• 6561 is a perfect square number. Its square root is 81
• The cube root of 6561 is 18.7207544077

### Scales and comparisons

How big is 6561?
• 6,561 seconds is equal to 1 hour, 49 minutes, 21 seconds.
• To count from 1 to 6,561 would take you about forty-nine minutes.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 6561 cubic inches would be around 1.6 feet tall.

### Recreational maths with 6561

• 6561 backwards is 1656
• The number of decimal digits it has is: 4
• The sum of 6561's digits is 18
• More coming soon!