57859972681 has 15 divisors (see below), whose sum is σ = 67513037991. Its totient is φ = 49584159576.

The previous prime is 57859972619. The next prime is 57859972693. The reversal of 57859972681 is 18627995875.

The square root of 57859972681 is 240541.

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., 57436436281 + 423536400 = 239659^2 + 20580^2 .

It is not a de Polignac number, because 57859972681 - 2⁷ = 57859972553 is a prime.

It is a super-2 number, since 2×57859972681² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57859973681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11784055 + ... + 11788963.

Almost surely, 2^57859972681 is an apocalyptic number.

57859972681 is the 240541-st square number.

57859972681 is the 120271-st centered octagonal number.

It is an amenable number.

57859972681 is a deficient number, since it is larger than the sum of its proper divisors (9653065310).

57859972681 is an frugal number, since it uses more digits than its factorization.

57859972681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9846 (or 4916 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 67.

The spelling of 57859972681 in words is "fifty-seven billion, eight hundred fifty-nine million, nine hundred seventy-two thousand, six hundred eighty-one".