10080571729 has 2 divisors, whose sum is σ = 10080571730. Its totient is φ = 10080571728.

The previous prime is 10080571663. The next prime is 10080571747. The reversal of 10080571729 is 92717508001.

10080571729 is digitally balanced in base 3, 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., 9482280129 + 598291600 = 97377^2 + 24460^2 .

It is a cyclic number.

It is not a de Polignac number, because 10080571729 - 2⁷ = 10080571601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10080571691 and 10080571700.

It is not a weakly prime, because it can be changed into another prime (10080571759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5040285864 + 5040285865.

It is an arithmetic number, because the mean of its divisors is an integer number (5040285865).

Almost surely, 2^10080571729 is an apocalyptic number.

It is an amenable number.

10080571729 is a deficient number, since it is larger than the sum of its proper divisors (1).

10080571729 is an equidigital number, since it uses as much as digits as its factorization.

10080571729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35280, while the sum is 40.

The spelling of 10080571729 in words is "ten billion, eighty million, five hundred seventy-one thousand, seven hundred twenty-nine".