# 1251

## 1,251 is an odd composite number composed of two prime numbers multiplied together.

What does the number 1251 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 6 divisors.

1251 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of six divisors.

## Prime factorization of 1251:

### 32 × 139

(3 × 3 × 139)

See below for interesting mathematical facts about the number 1251 from the Numbermatics database.

### Names of 1251

• Cardinal: 1251 can be written as One thousand, two hundred fifty-one.

### Scientific notation

• Scientific notation: 1.251 × 103

### Factors of 1251

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 142

### Divisors of 1251

• Number of divisors d(n): 6
• Complete list of divisors:
• Sum of all divisors σ(n): 1820
• Sum of proper divisors (its aliquot sum) s(n): 569
• 1251 is a deficient number, because the sum of its proper divisors (569) is less than itself. Its deficiency is 682

### Bases of 1251

• Binary: 100111000112
• Base-36: YR

### Squares and roots of 1251

• 1251 squared (12512) is 1565001
• 1251 cubed (12513) is 1957816251
• The square root of 1251 is 35.3694783677
• The cube root of 1251 is 10.7750452641

### Scales and comparisons

How big is 1251?
• 1,251 seconds is equal to 20 minutes, 51 seconds.
• To count from 1 to 1,251 would take you about twenty 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 1251 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1251

• 1251 backwards is 1521
• 1251 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1251's digits is 9
• More coming soon!