4021731564577 has 2 divisors, whose sum is σ = 4021731564578. Its totient is φ = 4021731564576.

The previous prime is 4021731564559. The next prime is 4021731564601. The reversal of 4021731564577 is 7754651371204.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2649703539681 + 1372028024896 = 1627791^2 + 1171336^2 .

It is a cyclic number.

It is not a de Polignac number, because 4021731564577 - 2⁷ = 4021731564449 is a prime.

It is not a weakly prime, because it can be changed into another prime (4021731564527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2010865782288 + 2010865782289.

It is an arithmetic number, because the mean of its divisors is an integer number (2010865782289).

Almost surely, 2^{4021731564577} is an apocalyptic number.

It is an amenable number.

4021731564577 is a deficient number, since it is larger than the sum of its proper divisors (1).

4021731564577 is an equidigital number, since it uses as much as digits as its factorization.

4021731564577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4939200, while the sum is 52.

The spelling of 4021731564577 in words is "four trillion, twenty-one billion, seven hundred thirty-one million, five hundred sixty-four thousand, five hundred seventy-seven".