577588876346641 has 2 divisors, whose sum is σ = 577588876346642. Its totient is φ = 577588876346640.

The previous prime is 577588876346639. The next prime is 577588876346683. The reversal of 577588876346641 is 146643678885775.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 512917364087041 + 64671512259600 = 22647679^2 + 8041860^2 .

It is a cyclic number.

It is not a de Polignac number, because 577588876346641 - 2¹ = 577588876346639 is a prime.

Together with 577588876346639, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (577588876446641) 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 as a sum of consecutive naturals, namely, 288794438173320 + 288794438173321.

It is an arithmetic number, because the mean of its divisors is an integer number (288794438173321).

Almost surely, 2^{577588876346641} is an apocalyptic number.

It is an amenable number.

577588876346641 is a deficient number, since it is larger than the sum of its proper divisors (1).

577588876346641 is an equidigital number, since it uses as much as digits as its factorization.

577588876346641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45519667200, while the sum is 85.

The spelling of 577588876346641 in words is "five hundred seventy-seven trillion, five hundred eighty-eight billion, eight hundred seventy-six million, three hundred forty-six thousand, six hundred forty-one".