2010001729 has 2 divisors, whose sum is σ = 2010001730. Its totient is φ = 2010001728.

The previous prime is 2010001663. The next prime is 2010001757. The reversal of 2010001729 is 9271000102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1993801104 + 16200625 = 44652^2 + 4025^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010001729 - 2⁷ = 2010001601 is a prime.

It is not a weakly prime, because it can be changed into another prime (2010004729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005000864 + 1005000865.

It is an arithmetic number, because the mean of its divisors is an integer number (1005000865).

Almost surely, 2^2010001729 is an apocalyptic number.

It is an amenable number.

2010001729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010001729 is an equidigital number, since it uses as much as digits as its factorization.

2010001729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 2010001729 is about 44833.0428255768. The cubic root of 2010001729 is about 1262.0177900819.

The spelling of 2010001729 in words is "two billion, ten million, one thousand, seven hundred twenty-nine".