5125 has 8 divisors (see below), whose sum is σ = 6552. Its totient is φ = 4000.

The previous prime is 5119. The next prime is 5147. The reversal of 5125 is 5215.

5125 is nontrivially palindromic in base 2 and base 4.

It can be written as a sum of positive squares in 4 ways, for example, as 1156 + 3969 = 34^2 + 63^2 .

It is a de Polignac number, because none of the positive numbers 2^k-5125 is a prime.

It is a Duffinian number.

It is a zygodrome in base 4.

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, 105 + ... + 145.

It is an arithmetic number, because the mean of its divisors is an integer number (819).

2⁵¹²⁵ is an apocalyptic number.

It is an amenable number.

5125 is a deficient number, since it is larger than the sum of its proper divisors (1427).

5125 is an equidigital number, since it uses as much as digits as its factorization.

5125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 46 counting only the distinct ones).

The product of its digits is 50, while the sum is 13.

The square root of 5125 is about 71.5891053164. The cubic root of 5125 is about 17.2410862019.

It can be divided in two parts, 51 and 25, that multiplied together give a triangular number (1275 = T₅₀).

The spelling of 5125 in words is "five thousand, one hundred twenty-five".