5578607827201 has 2 divisors, whose sum is σ = 5578607827202. Its totient is φ = 5578607827200.

The previous prime is 5578607827159. The next prime is 5578607827229. The reversal of 5578607827201 is 1027287068755.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5104436490000 + 474171337201 = 2259300^2 + 688601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-5578607827201 is a prime.

It is a super-3 number, since 3×5578607827201³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (5578607822201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2789303913600 + 2789303913601.

It is an arithmetic number, because the mean of its divisors is an integer number (2789303913601).

Almost surely, 2^{5578607827201} is an apocalyptic number.

It is an amenable number.

5578607827201 is a deficient number, since it is larger than the sum of its proper divisors (1).

5578607827201 is an equidigital number, since it uses as much as digits as its factorization.

5578607827201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13171200, while the sum is 58.

The spelling of 5578607827201 in words is "five trillion, five hundred seventy-eight billion, six hundred seven million, eight hundred twenty-seven thousand, two hundred one".