1006055117 has 2 divisors, whose sum is σ = 1006055118. Its totient is φ = 1006055116.

The previous prime is 1006055093. The next prime is 1006055131. The reversal of 1006055117 is 7115506001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 899160196 + 106894921 = 29986^2 + 10339^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006055117 - 2¹⁶ = 1005989581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006055137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503027558 + 503027559.

It is an arithmetic number, because the mean of its divisors is an integer number (503027559).

Almost surely, 2^1006055117 is an apocalyptic number.

It is an amenable number.

1006055117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006055117 is an equidigital number, since it uses as much as digits as its factorization.

1006055117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1050, while the sum is 26.

The square root of 1006055117 is about 31718.3719159732. The cubic root of 1006055117 is about 1002.0143121555.

The spelling of 1006055117 in words is "one billion, six million, fifty-five thousand, one hundred seventeen".