# 25801

## 25,801 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 25801 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

25801 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 25801:

### 25801

See below for interesting mathematical facts about the number 25801 from the Numbermatics database.

### Names of 25801

• Cardinal: 25801 can be written as Twenty-five thousand, eight hundred one.

### Scientific notation

• Scientific notation: 2.5801 × 104

### Factors of 25801

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 25801

### Divisors of 25801

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 25802
• Sum of proper divisors (its aliquot sum) s(n): 1
• 25801 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 25800

### Bases of 25801

• Binary: 1100100110010012
• Base-36: JWP

### Squares and roots of 25801

• 25801 squared (258012) is 665691601
• 25801 cubed (258013) is 17175508997401
• The square root of 25801 is 160.6268968759
• The cube root of 25801 is 29.5491853995

### Scales and comparisons

How big is 25801?
• 25,801 seconds is equal to 7 hours, 10 minutes, 1 second.
• To count from 1 to 25,801 would take you about seven hours.

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 25801 cubic inches would be around 2.5 feet tall.

### Recreational maths with 25801

• 25801 backwards is 10852
• The number of decimal digits it has is: 5
• The sum of 25801's digits is 16
• More coming soon!