1057065017 has 2 divisors, whose sum is σ = 1057065018. Its totient is φ = 1057065016.

The previous prime is 1057065007. The next prime is 1057065029. The reversal of 1057065017 is 7105607501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 960318121 + 96746896 = 30989^2 + 9836^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057065017 - 2¹⁶ = 1056999481 is a prime.

It is a super-2 number, since 2×1057065017² = 2234772900330420578, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1057065007) 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, 528532508 + 528532509.

It is an arithmetic number, because the mean of its divisors is an integer number (528532509).

Almost surely, 2^1057065017 is an apocalyptic number.

It is an amenable number.

1057065017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057065017 is an equidigital number, since it uses as much as digits as its factorization.

1057065017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7350, while the sum is 32.

The square root of 1057065017 is about 32512.5363052469. The cubic root of 1057065017 is about 1018.6709002432.

The spelling of 1057065017 in words is "one billion, fifty-seven million, sixty-five thousand, seventeen".