1253

1253 is a natural number that follows 1252 and precedes 1254. It factors as 7 × 179, making it a semiprime and squarefree. Its divisors are 1, 7, 179, and 1253. The sum of divisors is 1440, and Euler's totient φ(1253) equals 1068, so the number has exactly four positive divisors. The digital sum is 11 and the digital root is 2; 1253 is congruent to 2 modulo 9 and it is not a perfect power.

In other numeral systems, 1253 is represented in several ways. In Roman numerals it is MCCLIII. In common positional bases, its representations include binary 10011100101, octal 2345, and hexadecimal 4E5. It can also be expressed in other bases, for example 1642 in base 9, A3A in base 11, and 755 in base 13, illustrating how the same value appears with different digit sets across bases.

As a decimal numeral, 1253 is read as one thousand two hundred fifty-three. In calendar contexts, the notation 1253 CE refers to a year in the high middle ages, though the specific historical events associated with that year vary by region and historical source. Beyond its arithmetic properties, 1253 serves as an example of a squarefree semiprime with multiple simple base representations and a straightforward divisor structure.