2538509 has 2 divisors, whose sum is σ = 2538510. Its totient is φ = 2538508.

The previous prime is 2538499. The next prime is 2538511. The reversal of 2538509 is 9058352.

It is a happy number.

2538509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2184484 + 354025 = 1478^2 + 595^2 .

It is a cyclic number.

It is not a de Polignac number, because 2538509 - 2⁴ = 2538493 is a prime.

Together with 2538511, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2538589) 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 as a sum of consecutive naturals, namely, 1269254 + 1269255.

It is an arithmetic number, because the mean of its divisors is an integer number (1269255).

2^2538509 is an apocalyptic number.

It is an amenable number.

2538509 is a deficient number, since it is larger than the sum of its proper divisors (1).

2538509 is an equidigital number, since it uses as much as digits as its factorization.

2538509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 2538509 is about 1593.2699080821. The cubic root of 2538509 is about 136.4141964567.

The spelling of 2538509 in words is "two million, five hundred thirty-eight thousand, five hundred nine".