2588125 has 20 divisors (see below), whose sum is σ = 3345804. Its totient is φ = 2000000.

The previous prime is 2588107. The next prime is 2588129. The reversal of 2588125 is 5218852.

2588125 = T₁₇₄ + T₁₇₅ + ... + T₂₇₄.

It can be written as a sum of positive squares in 10 ways, for example, as 1965604 + 622521 = 1402^2 + 789^2 .

It is not a de Polignac number, because 2588125 - 2⁵ = 2588093 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2588129) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25575 + ... + 25675.

2^2588125 is an apocalyptic number.

2588125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2588125 is a deficient number, since it is larger than the sum of its proper divisors (757679).

2588125 is an equidigital number, since it uses as much as digits as its factorization.

2588125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its digits is 6400, while the sum is 31.

The square root of 2588125 is about 1608.7650543196. The cubic root of 2588125 is about 137.2972217608.

The spelling of 2588125 in words is "two million, five hundred eighty-eight thousand, one hundred twenty-five".