11005561105057 has 2 divisors, whose sum is σ = 11005561105058. Its totient is φ = 11005561105056.

The previous prime is 11005561105003. The next prime is 11005561105079. The reversal of 11005561105057 is 75050116550011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7177555377216 + 3828005727841 = 2679096^2 + 1956529^2 .

It is a cyclic number.

It is not a de Polignac number, because 11005561105057 - 2¹⁹ = 11005560580769 is a prime.

It is a super-2 number, since 2×11005561105057² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11005561103057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5502780552528 + 5502780552529.

It is an arithmetic number, because the mean of its divisors is an integer number (5502780552529).

Almost surely, 2^{11005561105057} is an apocalyptic number.

It is an amenable number.

11005561105057 is a deficient number, since it is larger than the sum of its proper divisors (1).

11005561105057 is an equidigital number, since it uses as much as digits as its factorization.

11005561105057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26250, while the sum is 37.

Adding to 11005561105057 its reverse (75050116550011), we get a palindrome (86055677655068).

The spelling of 11005561105057 in words is "eleven trillion, five billion, five hundred sixty-one million, one hundred five thousand, fifty-seven".