51725 has 6 divisors (see below), whose sum is σ = 64170. Its totient is φ = 41360.

The previous prime is 51721. The next prime is 51749. The reversal of 51725 is 52715.

51725 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 3 ways, for example, as 196 + 51529 = 14^2 + 227^2 .

It is not a de Polignac number, because 51725 - 2² = 51721 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 51697 and 51706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1010 + ... + 1059.

It is an arithmetic number, because the mean of its divisors is an integer number (10695).

2⁵¹⁷²⁵ is an apocalyptic number.

It is an amenable number.

51725 is a deficient number, since it is larger than the sum of its proper divisors (12445).

51725 is a wasteful number, since it uses less digits than its factorization.

51725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2074 counting only the distinct ones).

The product of its digits is 350, while the sum is 20.

The square root of 51725 is about 227.4313083109. The cubic root of 51725 is about 37.2591977647.

Subtracting 51725 from its reverse (52715), we obtain a triangular number (990 = T₄₄).

The spelling of 51725 in words is "fifty-one thousand, seven hundred twenty-five".