5977003033681 has 9 divisors (see below), whose sum is σ = 5991724995291. Its totient is φ = 5962317174144.

The previous prime is 5977003033679. The next prime is 5977003033697. The reversal of 5977003033681 is 1863303007795.

The square root of 5977003033681 is 2444791.

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., 1081581280081 + 4895421753600 = 1039991^2 + 2212560^2 .

It is not a de Polignac number, because 5977003033681 - 2¹ = 5977003033679 is a prime.

It is a super-2 number, since 2×5977003033681² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5977003003681) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1073260465 + ... + 1073266033.

It is an arithmetic number, because the mean of its divisors is an integer number (665747221699).

Almost surely, 2^{5977003033681} is an apocalyptic number.

5977003033681 is the 2444791-st square number.

5977003033681 is the 1222396-th centered octagonal number.

It is an amenable number.

5977003033681 is a deficient number, since it is larger than the sum of its proper divisors (14721961610).

5977003033681 is an frugal number, since it uses more digits than its factorization.

5977003033681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12016 (or 6008 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 52.

The spelling of 5977003033681 in words is "five trillion, nine hundred seventy-seven billion, three million, thirty-three thousand, six hundred eighty-one".