# 5153

## 5,153 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 5153 look like?

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

5153 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 5153:

### 5153

See below for interesting mathematical facts about the number 5153 from the Numbermatics database.

### Names of 5153

• Cardinal: 5153 can be written as Five thousand, one hundred fifty-three.

### Scientific notation

• Scientific notation: 5.153 × 103

### Factors of 5153

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 5153

### Divisors of 5153

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 5154
• Sum of proper divisors (its aliquot sum) s(n): 1
• 5153 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 5152

### Bases of 5153

• Binary: 10100001000012
• Base-36: 3Z5

### Squares and roots of 5153

• 5153 squared (51532) is 26553409
• 5153 cubed (51533) is 136829716577
• The square root of 5153 is 71.7843994193
• The cube root of 5153 is 17.2724275949

### Scales and comparisons

How big is 5153?
• 5,153 seconds is equal to 1 hour, 25 minutes, 53 seconds.
• To count from 1 to 5,153 would take you about twenty-five 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 5153 cubic inches would be around 1.4 feet tall.

### Recreational maths with 5153

• 5153 backwards is 3515
• The number of decimal digits it has is: 4
• The sum of 5153's digits is 14
• More coming soon!