2509535 has 12 divisors (see below), whose sum is σ = 3503448. Its totient is φ = 1720656.

The previous prime is 2509531. The next prime is 2509537. The reversal of 2509535 is 5359052.

It is not a de Polignac number, because 2509535 - 2² = 2509531 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2509498 and 2509507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4877 + ... + 5366.

It is an arithmetic number, because the mean of its divisors is an integer number (291954).

2^2509535 is an apocalyptic number.

2509535 is a deficient number, since it is larger than the sum of its proper divisors (993913).

2509535 is a wasteful number, since it uses less digits than its factorization.

2509535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10262 (or 10255 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 29.

The square root of 2509535 is about 1584.1511922793. The cubic root of 2509535 is about 135.8932084091.

The spelling of 2509535 in words is "two million, five hundred nine thousand, five hundred thirty-five".