2045608517569 has 2 divisors, whose sum is σ = 2045608517570. Its totient is φ = 2045608517568.

The previous prime is 2045608517509. The next prime is 2045608517611. The reversal of 2045608517569 is 9657158065402.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1863375153025 + 182233364544 = 1365055^2 + 426888^2 .

It is a cyclic number.

It is not a de Polignac number, because 2045608517569 - 2⁷ = 2045608517441 is a prime.

It is a super-2 number, since 2×2045608517569² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2045608517509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1022804258784 + 1022804258785.

It is an arithmetic number, because the mean of its divisors is an integer number (1022804258785).

Almost surely, 2^{2045608517569} is an apocalyptic number.

It is an amenable number.

2045608517569 is a deficient number, since it is larger than the sum of its proper divisors (1).

2045608517569 is an equidigital number, since it uses as much as digits as its factorization.

2045608517569 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144000, while the sum is 58.

The spelling of 2045608517569 in words is "two trillion, forty-five billion, six hundred eight million, five hundred seventeen thousand, five hundred sixty-nine".