10006005481 has 2 divisors, whose sum is σ = 10006005482. Its totient is φ = 10006005480.

The previous prime is 10006005479. The next prime is 10006005533. The reversal of 10006005481 is 18450060001.

10006005481 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6786464400 + 3219541081 = 82380^2 + 56741^2 .

It is a cyclic number.

It is not a de Polignac number, because 10006005481 - 2¹ = 10006005479 is a prime.

It is a super-2 number, since 2×10006005481² (a number of 21 digits) contains 22 as substring.

Together with 10006005479, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10006005421) 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, 5003002740 + 5003002741.

It is an arithmetic number, because the mean of its divisors is an integer number (5003002741).

Almost surely, 2^10006005481 is an apocalyptic number.

It is an amenable number.

10006005481 is a deficient number, since it is larger than the sum of its proper divisors (1).

10006005481 is an equidigital number, since it uses as much as digits as its factorization.

10006005481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 10006005481 its reverse (18450060001), we get a palindrome (28456065482).

The spelling of 10006005481 in words is "ten billion, six million, five thousand, four hundred eighty-one".