1005726089 has 2 divisors, whose sum is σ = 1005726090. Its totient is φ = 1005726088.

The previous prime is 1005726053. The next prime is 1005726091. The reversal of 1005726089 is 9806275001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 605406025 + 400320064 = 24605^2 + 20008^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005726089 is a prime.

It is a super-2 number, since 2×1005726089² = 2022969932190471842, which contains 22 as substring.

Together with 1005726091, 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 (1005726019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502863044 + 502863045.

It is an arithmetic number, because the mean of its divisors is an integer number (502863045).

Almost surely, 2^1005726089 is an apocalyptic number.

It is an amenable number.

1005726089 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005726089 is an equidigital number, since it uses as much as digits as its factorization.

1005726089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 1005726089 is about 31713.1847817276. The cubic root of 1005726089 is about 1001.9050647569.

The spelling of 1005726089 in words is "one billion, five million, seven hundred twenty-six thousand, eighty-nine".