2535

2535 is a natural number that follows 2534 and precedes 2536. It is an odd, composite integer.

Its prime factorization is 3 × 5 × 13^2. Accordingly, 2535 has 12 positive divisors: 1, 3, 5, 13, 15, 39, 65, 169, 195, 507, 845, 2535. Notably, 2535 can also be written as 15 × 169.

The number is divisible by 3, 5, 13 and by their products (for example, 15, 39, 65, and 195). It is a Harshad number, since 2535 is divisible by the sum of its digits (2+5+3+5 = 15), yielding 169. The sum of its proper divisors is 1857, so 2535 is a deficient number. In Roman numerals it is MMDXXXV, and in binary it is 100111100111.

As a calendar year, 2535 would fall in the 26th century of the common era. Beyond its mathematical properties, 2535 is typically encountered as a numeric identifier or designation in various numbering systems, rather than as a term with a unique, universally recognized meaning.

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