2509625 has 16 divisors (see below), whose sum is σ = 3319056. Its totient is φ = 1888000.

The previous prime is 2509621. The next prime is 2509627. The reversal of 2509625 is 5269052.

2509625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 110224 + 2399401 = 332^2 + 1549^2 .

It is not a de Polignac number, because 2509625 - 2² = 2509621 is a prime.

It is a super-3 number, since 3×2509625³ = 47418493339060546875, which contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1535 + ... + 2715.

It is an arithmetic number, because the mean of its divisors is an integer number (207441).

2^2509625 is an apocalyptic number.

2509625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2509625 is a deficient number, since it is larger than the sum of its proper divisors (809431).

2509625 is a wasteful number, since it uses less digits than its factorization.

2509625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 2509625 is about 1584.1795984042. The cubic root of 2509625 is about 135.8948329123.

The spelling of 2509625 in words is "two million, five hundred nine thousand, six hundred twenty-five".