1513
1513 is the year Machiavelli wrote The Prince.
- Odd
- Composite
Where 1513 fits
Why 1513 is special
It was written to seek employment from the Medici who had just removed him from office. Whether it is sincere advice or satire has been argued since publication, and the ambiguity is part of why it endures.
Factors & digit properties
- Divisors (4)
- 1, 17, 89, 1513
- Prime factorisation
- 17 × 89
- Digit sum
- 10
- Digital root
- 1
Representations
- Decimal
- 1513
- Binary
- 10111101001
- Octal
- 2751
- Hexadecimal
- 5e9
- Roman numeral
- MDXIII
- Scientific notation
- 1.513 × 10^3
Other mathematical patterns
- Deficient number
- Semiprime
Culture
The Prince was written by an unemployed official hoping to impress the rulers who had dismissed and tortured him. Reading it as genuine counsel or as satire produces entirely different books, and the question is unresolved.
DocumentedCultureGeography: FlorencePeriod: 1513
Common questions
Is 1513 a prime number?
No, 1513 is not prime.
What are the factors of 1513?
The factors of 1513 are 1, 17, 89, 1513.
What is 1513 in Roman numerals?
1513 in Roman numerals is MDXIII.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.
Last reviewed: 3 August 2026