1057579821769 has 9 divisors (see below), whose sum is σ = 1061803701543. Its totient is φ = 1053372690552.

The previous prime is 1057579821761. The next prime is 1057579821773. The reversal of 1057579821769 is 9671289757501.

The square root of 1057579821769 is 1028387.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 69583581369 + 987996240400 = 263787^2 + 993980^2 .

It is not a de Polignac number, because 1057579821769 - 2³ = 1057579821761 is a prime.

It is a super-2 number, since 2×1057579821769² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1057579821761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 276634192 + ... + 276638014.

Almost surely, 2^{1057579821769} is an apocalyptic number.

1057579821769 is the 1028387-th square number.

1057579821769 is the 514194-th centered octagonal number.

It is an amenable number.

1057579821769 is a deficient number, since it is larger than the sum of its proper divisors (4223879774).

1057579821769 is an frugal number, since it uses more digits than its factorization.

1057579821769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8184 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 67.

The spelling of 1057579821769 in words is "one trillion, fifty-seven billion, five hundred seventy-nine million, eight hundred twenty-one thousand, seven hundred sixty-nine".