1057111677 has 6 divisors (see below), whose sum is σ = 1526939102. Its totient is φ = 704741112.

The previous prime is 1057111669. The next prime is 1057111739. The reversal of 1057111677 is 7761117501.

1057111677 is a `hidden beast` number, since 1 + 0 + 571 + 1 + 16 + 77 = 666.

It can be written as a sum of positive squares in only one way, i.e., 545175801 + 511935876 = 23349^2 + 22626^2 .

It is not a de Polignac number, because 1057111677 - 2³ = 1057111669 is a prime.

It is a super-2 number, since 2×1057111677² = 2234970195299504658, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057111667) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58728418 + ... + 58728435.

Almost surely, 2^1057111677 is an apocalyptic number.

It is an amenable number.

1057111677 is a deficient number, since it is larger than the sum of its proper divisors (469827425).

1057111677 is a wasteful number, since it uses less digits than its factorization.

1057111677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117456859 (or 117456856 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 36.

The square root of 1057111677 is about 32513.2538666926. The cubic root of 1057111677 is about 1018.6858884366.

The spelling of 1057111677 in words is "one billion, fifty-seven million, one hundred eleven thousand, six hundred seventy-seven".