2541621520289 has 2 divisors, whose sum is σ = 2541621520290. Its totient is φ = 2541621520288.

The previous prime is 2541621520279. The next prime is 2541621520363. The reversal of 2541621520289 is 9820251261452.

2541621520289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2088198403600 + 453423116689 = 1445060^2 + 673367^2 .

It is a cyclic number.

It is not a de Polignac number, because 2541621520289 - 2²⁰ = 2541620471713 is a prime.

It is not a weakly prime, because it can be changed into another prime (2541621520279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270810760144 + 1270810760145.

It is an arithmetic number, because the mean of its divisors is an integer number (1270810760145).

Almost surely, 2^{2541621520289} is an apocalyptic number.

It is an amenable number.

2541621520289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2541621520289 is an equidigital number, since it uses as much as digits as its factorization.

2541621520289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 691200, while the sum is 47.

The spelling of 2541621520289 in words is "two trillion, five hundred forty-one billion, six hundred twenty-one million, five hundred twenty thousand, two hundred eighty-nine".