125025 has 12 divisors (see below), whose sum is σ = 206832. Its totient is φ = 66640.

The previous prime is 125017. The next prime is 125029. The reversal of 125025 is 520521.

It is not a de Polignac number, because 125025 - 2³ = 125017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

125025 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 124995 and 125013.

It is not an unprimeable number, because it can be changed into a prime (125029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 759 + ... + 908.

It is an arithmetic number, because the mean of its divisors is an integer number (17236).

125025 is a Friedman number, since it can be written as 50^(2+1)+5^2, using all its digits and the basic arithmetic operations.

2¹²⁵⁰²⁵ is an apocalyptic number.

125025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125025 is a deficient number, since it is larger than the sum of its proper divisors (81807).

125025 is a wasteful number, since it uses less digits than its factorization.

125025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 125025 is about 353.5887441647. The cubic root of 125025 is about 50.0033331111.

Multiplying 125025 by its product of nonzero digits (100), we get a triangular number (12502500 = T₅₀₀₀).

Adding to 125025 its reverse (520521), we get a palindrome (645546).

It can be divided in two parts, 1250 and 25, that added together give a triangular number (1275 = T₅₀).

The spelling of 125025 in words is "one hundred twenty-five thousand, twenty-five".