1057088585 has 16 divisors (see below), whose sum is σ = 1450390656. Its totient is φ = 724526208.

The previous prime is 1057088537. The next prime is 1057088587. The reversal of 1057088585 is 5858807501.

It is not a de Polignac number, because 1057088585 - 2⁶ = 1057088521 is a prime.

It is a super-2 number, since 2×1057088585² = 2234872553074604450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1057088587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88277 + ... + 99533.

It is an arithmetic number, because the mean of its divisors is an integer number (90649416).

Almost surely, 2^1057088585 is an apocalyptic number.

It is an amenable number.

1057088585 is a deficient number, since it is larger than the sum of its proper divisors (393302071).

1057088585 is a wasteful number, since it uses less digits than its factorization.

1057088585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13952.

The product of its (nonzero) digits is 448000, while the sum is 47.

The square root of 1057088585 is about 32512.8987480354. The cubic root of 1057088585 is about 1018.6784708457.

The spelling of 1057088585 in words is "one billion, fifty-seven million, eighty-eight thousand, five hundred eighty-five".