10505055601 has 2 divisors, whose sum is σ = 10505055602. Its totient is φ = 10505055600.

The previous prime is 10505055569. The next prime is 10505055623. The reversal of 10505055601 is 10655050501.

10505055601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8014546576 + 2490509025 = 89524^2 + 49905^2 .

It is a cyclic number.

It is not a de Polignac number, because 10505055601 - 2⁵ = 10505055569 is a prime.

It is a super-2 number, since 2×10505055601² (a number of 21 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 10505055601.

It is not a weakly prime, because it can be changed into another prime (10505055661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5252527800 + 5252527801.

It is an arithmetic number, because the mean of its divisors is an integer number (5252527801).

Almost surely, 2^10505055601 is an apocalyptic number.

It is an amenable number.

10505055601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10505055601 is an equidigital number, since it uses as much as digits as its factorization.

10505055601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 10505055601 in words is "ten billion, five hundred five million, fifty-five thousand, six hundred one".