577141584286081 has 2 divisors, whose sum is σ = 577141584286082. Its totient is φ = 577141584286080.

The previous prime is 577141584286073. The next prime is 577141584286117. The reversal of 577141584286081 is 180682485141775.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 507682011240000 + 69459573046081 = 22531800^2 + 8334241^2 .

It is a cyclic number.

It is not a de Polignac number, because 577141584286081 - 2³ = 577141584286073 is a prime.

It is a super-2 number, since 2×577141584286081² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 577141584285998 and 577141584286016.

It is not a weakly prime, because it can be changed into another prime (577141584286481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 288570792143040 + 288570792143041.

It is an arithmetic number, because the mean of its divisors is an integer number (288570792143041).

Almost surely, 2^{577141584286081} is an apocalyptic number.

It is an amenable number.

577141584286081 is a deficient number, since it is larger than the sum of its proper divisors (1).

577141584286081 is an equidigital number, since it uses as much as digits as its factorization.

577141584286081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120422400, while the sum is 67.

The spelling of 577141584286081 in words is "five hundred seventy-seven trillion, one hundred forty-one billion, five hundred eighty-four million, two hundred eighty-six thousand, eighty-one".