1006771121 has 2 divisors, whose sum is σ = 1006771122. Its totient is φ = 1006771120.

The previous prime is 1006771091. The next prime is 1006771133. The reversal of 1006771121 is 1211776001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 985018225 + 21752896 = 31385^2 + 4664^2 .

It is an emirp because it is prime and its reverse (1211776001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006771121 - 2¹⁴ = 1006754737 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006771151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503385560 + 503385561.

It is an arithmetic number, because the mean of its divisors is an integer number (503385561).

Almost surely, 2^1006771121 is an apocalyptic number.

It is an amenable number.

1006771121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006771121 is an equidigital number, since it uses as much as digits as its factorization.

1006771121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 588, while the sum is 26.

The square root of 1006771121 is about 31729.6568055817. The cubic root of 1006771121 is about 1002.2519651793.

The spelling of 1006771121 in words is "one billion, six million, seven hundred seventy-one thousand, one hundred twenty-one".