1035091721 has 2 divisors, whose sum is σ = 1035091722. Its totient is φ = 1035091720.

The previous prime is 1035091691. The next prime is 1035091723. The reversal of 1035091721 is 1271905301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 750157321 + 284934400 = 27389^2 + 16880^2 .

It is an emirp because it is prime and its reverse (1271905301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1035091721 - 2¹⁰ = 1035090697 is a prime.

Together with 1035091723, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1035091723) 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, 517545860 + 517545861.

It is an arithmetic number, because the mean of its divisors is an integer number (517545861).

Almost surely, 2^1035091721 is an apocalyptic number.

It is an amenable number.

1035091721 is a deficient number, since it is larger than the sum of its proper divisors (1).

1035091721 is an equidigital number, since it uses as much as digits as its factorization.

1035091721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 1035091721 is about 32172.8413572690. The cubic root of 1035091721 is about 1011.5630215278.

The spelling of 1035091721 in words is "one billion, thirty-five million, ninety-one thousand, seven hundred twenty-one".