5977433324641 has 9 divisors (see below), whose sum is σ = 5986480816659. Its totient is φ = 5968399496736.

The previous prime is 5977433324557. The next prime is 5977433324713. The reversal of 5977433324641 is 1464233347795.

It is a happy number.

The square root of 5977433324641 is 2444879.

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., 2346487830625 + 3630945494016 = 1531825^2 + 1905504^2 .

It is not a de Polignac number, because 5977433324641 - 2¹⁵ = 5977433291873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5977433325641) 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, 2109929161 + ... + 2109931993.

Almost surely, 2^{5977433324641} is an apocalyptic number.

5977433324641 is the 2444879-th square number.

5977433324641 is the 1222440-th centered octagonal number.

It is an amenable number.

5977433324641 is a deficient number, since it is larger than the sum of its proper divisors (9047492018).

5977433324641 is an frugal number, since it uses more digits than its factorization.

5977433324641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7392 (or 3696 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 58.

The spelling of 5977433324641 in words is "five trillion, nine hundred seventy-seven billion, four hundred thirty-three million, three hundred twenty-four thousand, six hundred forty-one".