51125 has 8 divisors (see below), whose sum is σ = 63960. Its totient is φ = 40800.

The previous prime is 51109. The next prime is 51131. The reversal of 51125 is 52115.

It can be written as a sum of positive squares in 4 ways, for example, as 49 + 51076 = 7^2 + 226^2 .

It is not a de Polignac number, because 51125 - 2⁴ = 51109 is a prime.

It is a super-2 number, since 2×51125² = 5227531250, which contains 22 as substring.

It is a Curzon number.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (7995).

2⁵¹¹²⁵ is an apocalyptic number.

It is an amenable number.

51125 is a deficient number, since it is larger than the sum of its proper divisors (12835).

51125 is an equidigital number, since it uses as much as digits as its factorization.

51125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 414 counting only the distinct ones).

The product of its digits is 50, while the sum is 14.

The square root of 51125 is about 226.1083810919. The cubic root of 51125 is about 37.1145706022.

Subtracting 51125 from its reverse (52115), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 5 and 1125, that multiplied together give a square (5625 = 75²).

The spelling of 51125 in words is "fifty-one thousand, one hundred twenty-five".