5806077825617 has 2 divisors, whose sum is σ = 5806077825618. Its totient is φ = 5806077825616.

The previous prime is 5806077825547. The next prime is 5806077825619. The reversal of 5806077825617 is 7165287706085.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5231974597201 + 574103228416 = 2287351^2 + 757696^2 .

It is a cyclic number.

It is not a de Polignac number, because 5806077825617 - 2⁴⁰ = 4706566197841 is a prime.

It is a super-2 number, since 2×5806077825617² (a number of 26 digits) contains 22 as substring.

Together with 5806077825619, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5806077825617.

It is not a weakly prime, because it can be changed into another prime (5806077825619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2903038912808 + 2903038912809.

It is an arithmetic number, because the mean of its divisors is an integer number (2903038912809).

Almost surely, 2^{5806077825617} is an apocalyptic number.

It is an amenable number.

5806077825617 is a deficient number, since it is larger than the sum of its proper divisors (1).

5806077825617 is an equidigital number, since it uses as much as digits as its factorization.

5806077825617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39513600, while the sum is 62.

The spelling of 5806077825617 in words is "five trillion, eight hundred six billion, seventy-seven million, eight hundred twenty-five thousand, six hundred seventeen".