1057864617 has 10 divisors (see below), whose sum is σ = 1580267018. Its totient is φ = 705243024.

The previous prime is 1057864601. The next prime is 1057864663. The reversal of 1057864617 is 7164687501.

1057864617 is a `hidden beast` number, since 1 + 0 + 578 + 64 + 6 + 17 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1056185001 + 1679616 = 32499^2 + 1296^2 .

It is not a de Polignac number, because 1057864617 - 2⁴ = 1057864601 is a prime.

It is a super-2 number, since 2×1057864617² = 2238155095801113378, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1057864417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6529948 + ... + 6530109.

Almost surely, 2^1057864617 is an apocalyptic number.

It is an amenable number.

1057864617 is a deficient number, since it is larger than the sum of its proper divisors (522402401).

1057864617 is an equidigital number, since it uses as much as digits as its factorization.

1057864617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13060069 (or 13060060 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1057864617 is about 32524.8307758857. The cubic root of 1057864617 is about 1018.9276879670.

The spelling of 1057864617 in words is "one billion, fifty-seven million, eight hundred sixty-four thousand, six hundred seventeen".