# 1259

## 1,259 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 1259 look like?

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

1259 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 1259:

### 1259

See below for interesting mathematical facts about the number 1259 from the Numbermatics database.

### Names of 1259

• Cardinal: 1259 can be written as One thousand, two hundred fifty-nine.

### Scientific notation

• Scientific notation: 1.259 × 103

### Factors of 1259

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1259

### Divisors of 1259

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 1260
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1259 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1258

### Bases of 1259

• Binary: 100111010112
• Base-36: YZ

### Squares and roots of 1259

• 1259 squared (12592) is 1585081
• 1259 cubed (12593) is 1995616979
• The square root of 1259 is 35.4823899985
• The cube root of 1259 is 10.7979648657

### Scales and comparisons

How big is 1259?
• 1,259 seconds is equal to 20 minutes, 59 seconds.
• To count from 1 to 1,259 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 1259 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1259

• 1259 backwards is 9521
• The number of decimal digits it has is: 4
• The sum of 1259's digits is 17
• More coming soon!