1057160511 has 16 divisors (see below), whose sum is σ = 1708542720. Its totient is φ = 640703160.

The previous prime is 1057160501. The next prime is 1057160591. The reversal of 1057160511 is 1150617501.

It is a happy number.

1057160511 is a `hidden beast` number, since 1 + 0 + 57 + 1 + 605 + 1 + 1 = 666.

It is not a de Polignac number, because 1057160511 - 2⁵ = 1057160479 is a prime.

It is a super-2 number, since 2×1057160511² = 2235176692035562242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057160501) 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, 1779435 + ... + 1780028.

It is an arithmetic number, because the mean of its divisors is an integer number (106783920).

Almost surely, 2^1057160511 is an apocalyptic number.

1057160511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1057160511 is a deficient number, since it is larger than the sum of its proper divisors (651382209).

1057160511 is a wasteful number, since it uses less digits than its factorization.

1057160511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3559483 (or 3559477 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

The square root of 1057160511 is about 32514.0048440668. The cubic root of 1057160511 is about 1018.7015744932.

The spelling of 1057160511 in words is "one billion, fifty-seven million, one hundred sixty thousand, five hundred eleven".