10505055061 has 2 divisors, whose sum is σ = 10505055062. Its totient is φ = 10505055060.

The previous prime is 10505055049. The next prime is 10505055073. The reversal of 10505055061 is 16055050501.

10505055061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10505055049) and next prime (10505055073).

It can be written as a sum of positive squares in only one way, i.e., 6020208100 + 4484846961 = 77590^2 + 66969^2 .

It is a cyclic number.

It is not a de Polignac number, because 10505055061 - 2¹⁵ = 10505022293 is a prime.

It is a super-2 number, since 2×10505055061² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 5252527530 + 5252527531.

It is an arithmetic number, because the mean of its divisors is an integer number (5252527531).

Almost surely, 2^10505055061 is an apocalyptic number.

It is an amenable number.

10505055061 is a deficient number, since it is larger than the sum of its proper divisors (1).

10505055061 is an equidigital number, since it uses as much as digits as its factorization.

10505055061 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 10505055061 in words is "ten billion, five hundred five million, fifty-five thousand, sixty-one".