2509709409 has 9 divisors (see below), whose sum is σ = 3625352913. Its totient is φ = 1673039412.

The previous prime is 2509709407. The next prime is 2509709437. The reversal of 2509709409 is 9049079052.

The square root of 2509709409 is 50097.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2509709409 - 2¹ = 2509709407 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2509709401) 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 8 ways as a sum of consecutive naturals, for example, 141942 + ... + 158640.

Almost surely, 2^2509709409 is an apocalyptic number.

2509709409 is the 50097-th square number.

2509709409 is the 25049-th centered octagonal number.

It is an amenable number.

2509709409 is a deficient number, since it is larger than the sum of its proper divisors (1115643504).

2509709409 is an frugal number, since it uses more digits than its factorization.

2509709409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33404 (or 16702 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The cubic root of 2509709409 is about 1358.9635646238.

The spelling of 2509709409 in words is "two billion, five hundred nine million, seven hundred nine thousand, four hundred nine".