10061050061033 has 2 divisors, whose sum is σ = 10061050061034. Its totient is φ = 10061050061032.

The previous prime is 10061050060973. The next prime is 10061050061087. The reversal of 10061050061033 is 33016005016001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7693012282384 + 2368037778649 = 2773628^2 + 1538843^2 .

It is a cyclic number.

It is not a de Polignac number, because 10061050061033 - 2¹⁸ = 10061049798889 is a prime.

It is a super-2 number, since 2×10061050061033² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10061050060993 and 10061050061011.

It is not a weakly prime, because it can be changed into another prime (10061050061833) 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, 5030525030516 + 5030525030517.

It is an arithmetic number, because the mean of its divisors is an integer number (5030525030517).

Almost surely, 2^{10061050061033} is an apocalyptic number.

It is an amenable number.

10061050061033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10061050061033 is an equidigital number, since it uses as much as digits as its factorization.

10061050061033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 26.

Adding to 10061050061033 its reverse (33016005016001), we get a palindrome (43077055077034).

The spelling of 10061050061033 in words is "ten trillion, sixty-one billion, fifty million, sixty-one thousand, thirty-three".