11005908256009 has 2 divisors, whose sum is σ = 11005908256010. Its totient is φ = 11005908256008.

The previous prime is 11005908255943. The next prime is 11005908256027. The reversal of 11005908256009 is 90065280950011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10974411945225 + 31496310784 = 3312765^2 + 177472^2 .

It is an emirp because it is prime and its reverse (90065280950011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11005908256009 - 2²¹ = 11005906158857 is a prime.

It is a super-2 number, since 2×11005908256009² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11005908256009.

It is not a weakly prime, because it can be changed into another prime (11005908056009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5502954128004 + 5502954128005.

It is an arithmetic number, because the mean of its divisors is an integer number (5502954128005).

Almost surely, 2^{11005908256009} is an apocalyptic number.

It is an amenable number.

11005908256009 is a deficient number, since it is larger than the sum of its proper divisors (1).

11005908256009 is an equidigital number, since it uses as much as digits as its factorization.

11005908256009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 194400, while the sum is 46.

The spelling of 11005908256009 in words is "eleven trillion, five billion, nine hundred eight million, two hundred fifty-six thousand, nine".