1025

1025 is an integer that can be described in several mathematical and historical contexts. In arithmetic, its prime factorization is 5^2 × 41. The positive divisors of 1025 are 1, 5, 25, 41, 205, and 1025. It is one more than 1024 (2^10), which makes it a nearby example of a power-of-two boundary in computing contexts. In various numeral systems, 1025 is written as MXXV in Roman numerals, as 10000000001 in binary, as 0x401 in hexadecimal, and as 2001 in octal.

As a year, 1025 CE situates itself in the early 11th century. Within the Byzantine Empire, the death of Emperor Basil II occurred in 1025, after which Constantine VIII ruled as sole emperor. This marked the end of Basil II’s long and expansive reign; the empire remained a major political and military power in the region, though its balance of power would continue to evolve in the following decades. Across other regions, 1025 saw a variety of local political and cultural developments, but no single event is universally singled out as defining the year on a global scale.

In popular reference, 1025 is primarily encountered as a historical year and as a number with distinct representations across numeral systems. It also serves as a natural example of numbers near a power of two and near a round decimal boundary for teaching basic number theory and numeral conversion.