1057107005 has 8 divisors (see below), whose sum is σ = 1343147832. Its totient is φ = 795939328.

The previous prime is 1057106987. The next prime is 1057107013. The reversal of 1057107005 is 5007017501.

1057107005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 360886009 + 696220996 = 18997^2 + 26386^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1057107005 - 2¹⁸ = 1056844861 is a prime.

It is a super-2 number, since 2×1057107005² = 2234950440040140050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6218192 + ... + 6218361.

It is an arithmetic number, because the mean of its divisors is an integer number (167893479).

Almost surely, 2^1057107005 is an apocalyptic number.

It is an amenable number.

1057107005 is a deficient number, since it is larger than the sum of its proper divisors (286040827).

1057107005 is a wasteful number, since it uses less digits than its factorization.

1057107005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12436575.

The product of its (nonzero) digits is 1225, while the sum is 26.

The square root of 1057107005 is about 32513.1820189904. The cubic root of 1057107005 is about 1018.6843877098.

The spelling of 1057107005 in words is "one billion, fifty-seven million, one hundred seven thousand, five".