51625

51625 is a natural number that follows 51624 and precedes 51626. It is an odd composite number with a prime factorization of 5^3 × 7 × 59.

Its positive divisors can be derived from that factorization. The divisors are: 1, 5, 7, 25, 35, 59, 125, 175, 295, 413, 875, 1475, 2065, 7375, 10325, and 51625. In total, there are 16 divisors.

Representations in other bases include binary, octal, and hexadecimal. In binary, 51625 is 1100100110101001. In octal, it is 144651. In hexadecimal, it is C9A9.

Number-theoretic properties follow from its factorization. Because it includes primes congruent to 3 mod 4 (namely 7 and 59) with odd exponents, 51625 cannot be expressed as a sum of two squares. The number ends with the digit 5, so it is divisible by 5 (indeed by 25 and by 125, since 51625 = 125 × 413). It is congruent to 1 modulo 8 and to 1 modulo 9 (51625 ≡ 1 (mod 8) and 51625 ≡ 1 (mod 9)).

In summary, 51625 is a composite number with a factorization of 5^3 × 7 × 59, illustrating multiple divisor combinations and standard base representations, as well as common modular properties associated with its prime factors.