2509682653 has 16 divisors (see below), whose sum is σ = 2593334016. Its totient is φ = 2427828480.

The previous prime is 2509682633. The next prime is 2509682683. The reversal of 2509682653 is 3562869052.

It is a cyclic number.

It is not a de Polignac number, because 2509682653 - 2²⁹ = 1972811741 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 (2509682603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 824851 + ... + 827887.

It is an arithmetic number, because the mean of its divisors is an integer number (162083376).

Almost surely, 2^2509682653 is an apocalyptic number.

It is an amenable number.

2509682653 is a deficient number, since it is larger than the sum of its proper divisors (83651363).

2509682653 is a wasteful number, since it uses less digits than its factorization.

2509682653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3324.

The product of its (nonzero) digits is 777600, while the sum is 46.

The square root of 2509682653 is about 50096.7329573496. The cubic root of 2509682653 is about 1358.9587353052.

The spelling of 2509682653 in words is "two billion, five hundred nine million, six hundred eighty-two thousand, six hundred fifty-three".