2566057060009 has 2 divisors, whose sum is σ = 2566057060010. Its totient is φ = 2566057060008.

The previous prime is 2566057059971. The next prime is 2566057060019. The reversal of 2566057060009 is 9000607506652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1471679544384 + 1094377515625 = 1213128^2 + 1046125^2 .

It is a cyclic number.

It is not a de Polignac number, because 2566057060009 - 2²¹ = 2566054962857 is a prime.

It is not a weakly prime, because it can be changed into another prime (2566057060019) 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, 1283028530004 + 1283028530005.

It is an arithmetic number, because the mean of its divisors is an integer number (1283028530005).

Almost surely, 2^{2566057060009} is an apocalyptic number.

It is an amenable number.

2566057060009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2566057060009 is an equidigital number, since it uses as much as digits as its factorization.

2566057060009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 680400, while the sum is 46.

The spelling of 2566057060009 in words is "two trillion, five hundred sixty-six billion, fifty-seven million, sixty thousand, nine".