2589547168849 has 9 divisors (see below), whose sum is σ = 2607054692571. Its totient is φ = 2572156468800.

The previous prime is 2589547168823. The next prime is 2589547168891. The reversal of 2589547168849 is 9488617459852.

The square root of 2589547168849 is 1609207.

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

2589547168849 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 138544006225 + 2451003162624 = 372215^2 + 1565568^2 .

It is not a de Polignac number, because 2589547168849 - 2⁷ = 2589547168721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2589547168049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 242984929 + ... + 242995585.

It is an arithmetic number, because the mean of its divisors is an integer number (289672743619).

Almost surely, 2^{2589547168849} is an apocalyptic number.

2589547168849 is the 1609207-th square number.

2589547168849 is the 804604-th centered octagonal number.

It is an amenable number.

2589547168849 is a deficient number, since it is larger than the sum of its proper divisors (17507523722).

2589547168849 is an frugal number, since it uses more digits than its factorization.

2589547168849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21616 (or 10808 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 76.

The spelling of 2589547168849 in words is "two trillion, five hundred eighty-nine billion, five hundred forty-seven million, one hundred sixty-eight thousand, eight hundred forty-nine".