2617541089 has 2 divisors, whose sum is σ = 2617541090. Its totient is φ = 2617541088.

The previous prime is 2617541083. The next prime is 2617541123. The reversal of 2617541089 is 9801457162.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2200360464 + 417180625 = 46908^2 + 20425^2 .

It is a cyclic number.

It is not a de Polignac number, because 2617541089 - 2³ = 2617541081 is a prime.

It is not a weakly prime, because it can be changed into another prime (2617541081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1308770544 + 1308770545.

It is an arithmetic number, because the mean of its divisors is an integer number (1308770545).

Almost surely, 2^2617541089 is an apocalyptic number.

It is an amenable number.

2617541089 is a deficient number, since it is larger than the sum of its proper divisors (1).

2617541089 is an equidigital number, since it uses as much as digits as its factorization.

2617541089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 43.

The square root of 2617541089 is about 51161.9105292209. The cubic root of 2617541089 is about 1378.1542728267.

The spelling of 2617541089 in words is "two billion, six hundred seventeen million, five hundred forty-one thousand, eighty-nine".