1261

1261 is a natural number that follows 1260 and precedes 1262. It is the product of the primes 13 and 97, making it a semiprime and squarefree. Consequently, its positive divisors are 1, 13, 97, and 1261. The sum of its divisors is 1372, and its Euler totient is φ(1261) = (13−1)(97−1) = 1152. These properties place 1261 among the common examples used in number theory to illustrate semiprimes and basic divisor functions.

In numeral representations, 1261 has several common forms. In Roman numerals it is MCCLXI. In binary it is 10011101101₂. In base 3 it is 1201201₃, in base 4 it is 103231₄, and in base 5 it is 20021₅. These representations demonstrate how a single integer can be expressed across different positional systems.

As a specific integer, 1261 is typically encountered in mathematical contexts dealing with factorization, divisors, and modular arithmetic. It does not have widely noted cultural or historical associations beyond its role as a numeric example or identifier in various technical applications.