1005726121 has 2 divisors, whose sum is σ = 1005726122. Its totient is φ = 1005726120.

The previous prime is 1005726091. The next prime is 1005726131. The reversal of 1005726121 is 1216275001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 944886121 + 60840000 = 30739^2 + 7800^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005726121 - 2⁵ = 1005726089 is a prime.

It is a super-2 number, since 2×1005726121² = 2022970060923413282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005726131) 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, 502863060 + 502863061.

It is an arithmetic number, because the mean of its divisors is an integer number (502863061).

Almost surely, 2^1005726121 is an apocalyptic number.

It is an amenable number.

1005726121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005726121 is an equidigital number, since it uses as much as digits as its factorization.

1005726121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 1005726121 is about 31713.1852862496. The cubic root of 1005726121 is about 1001.9050753831.

The spelling of 1005726121 in words is "one billion, five million, seven hundred twenty-six thousand, one hundred twenty-one".