1057105117 has 2 divisors, whose sum is σ = 1057105118. Its totient is φ = 1057105116.

The previous prime is 1057105111. The next prime is 1057105121. The reversal of 1057105117 is 7115017501.

1057105117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1051445476 + 5659641 = 32426^2 + 2379^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057105117 - 2⁷ = 1057104989 is a prime.

It is a super-2 number, since 2×1057105117² = 2234942456775167378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057105111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528552558 + 528552559.

It is an arithmetic number, because the mean of its divisors is an integer number (528552559).

Almost surely, 2^1057105117 is an apocalyptic number.

It is an amenable number.

1057105117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057105117 is an equidigital number, since it uses as much as digits as its factorization.

1057105117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1225, while the sum is 28.

The square root of 1057105117 is about 32513.1529845999. The cubic root of 1057105117 is about 1018.6837812505.

The spelling of 1057105117 in words is "one billion, fifty-seven million, one hundred five thousand, one hundred seventeen".