2589547168721 has 2 divisors, whose sum is σ = 2589547168722. Its totient is φ = 2589547168720.

The previous prime is 2589547168717. The next prime is 2589547168723. The reversal of 2589547168721 is 1278617459852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2398669927696 + 190877241025 = 1548764^2 + 436895^2 .

It is a cyclic number.

It is not a de Polignac number, because 2589547168721 - 2² = 2589547168717 is a prime.

Together with 2589547168723, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2589547168723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1294773584360 + 1294773584361.

It is an arithmetic number, because the mean of its divisors is an integer number (1294773584361).

Almost surely, 2^{2589547168721} is an apocalyptic number.

It is an amenable number.

2589547168721 is a deficient number, since it is larger than the sum of its proper divisors (1).

2589547168721 is an equidigital number, since it uses as much as digits as its factorization.

2589547168721 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 67737600, while the sum is 65.

The spelling of 2589547168721 in words is "two trillion, five hundred eighty-nine billion, five hundred forty-seven million, one hundred sixty-eight thousand, seven hundred twenty-one".