1057086635 has 32 divisors (see below), whose sum is σ = 1421328384. Its totient is φ = 748144000.

The previous prime is 1057086617. The next prime is 1057086649. The reversal of 1057086635 is 5366807501.

It is not a de Polignac number, because 1057086635 - 2⁸ = 1057086379 is a prime.

It is a super-2 number, since 2×1057086635² = 2234864307791246450, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1057086592 and 1057086601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492665 + ... + 494805.

It is an arithmetic number, because the mean of its divisors is an integer number (44416512).

Almost surely, 2^1057086635 is an apocalyptic number.

1057086635 is a deficient number, since it is larger than the sum of its proper divisors (364241749).

1057086635 is a wasteful number, since it uses less digits than its factorization.

1057086635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395.

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 1057086635 is about 32512.8687599234. The cubic root of 1057086635 is about 1018.6778444636.

The spelling of 1057086635 in words is "one billion, fifty-seven million, eighty-six thousand, six hundred thirty-five".