10731028729 has 2 divisors, whose sum is σ = 10731028730. Its totient is φ = 10731028728.

The previous prime is 10731028621. The next prime is 10731028747. The reversal of 10731028729 is 92782013701.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6079788729 + 4651240000 = 77973^2 + 68200^2 .

It is a cyclic number.

It is not a de Polignac number, because 10731028729 - 2¹⁹ = 10730504441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10731028691 and 10731028700.

It is not a weakly prime, because it can be changed into another prime (10731038729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5365514364 + 5365514365.

It is an arithmetic number, because the mean of its divisors is an integer number (5365514365).

Almost surely, 2^10731028729 is an apocalyptic number.

It is an amenable number.

10731028729 is a deficient number, since it is larger than the sum of its proper divisors (1).

10731028729 is an equidigital number, since it uses as much as digits as its factorization.

10731028729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42336, while the sum is 40.

The spelling of 10731028729 in words is "ten billion, seven hundred thirty-one million, twenty-eight thousand, seven hundred twenty-nine".