2582509 has 8 divisors (see below), whose sum is σ = 2753280. Its totient is φ = 2416656.

The previous prime is 2582501. The next prime is 2582543. The reversal of 2582509 is 9052852.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2582509 - 2³ = 2582501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114 + ... + 2275.

It is an arithmetic number, because the mean of its divisors is an integer number (344160).

2^2582509 is an apocalyptic number.

It is an amenable number.

2582509 is a deficient number, since it is larger than the sum of its proper divisors (170771).

2582509 is a wasteful number, since it uses less digits than its factorization.

2582509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459.

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 2582509 is about 1607.0186682176. The cubic root of 2582509 is about 137.1978422767.

The spelling of 2582509 in words is "two million, five hundred eighty-two thousand, five hundred nine".