577677610681 has 2 divisors, whose sum is σ = 577677610682. Its totient is φ = 577677610680.

The previous prime is 577677610673. The next prime is 577677610693. The reversal of 577677610681 is 186016776775.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 542461710400 + 35215900281 = 736520^2 + 187659^2 .

It is a cyclic number.

It is not a de Polignac number, because 577677610681 - 2³ = 577677610673 is a prime.

It is a super-2 number, since 2×577677610681² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (577677610621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 288838805340 + 288838805341.

It is an arithmetic number, because the mean of its divisors is an integer number (288838805341).

Almost surely, 2^577677610681 is an apocalyptic number.

It is an amenable number.

577677610681 is a deficient number, since it is larger than the sum of its proper divisors (1).

577677610681 is an equidigital number, since it uses as much as digits as its factorization.

577677610681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20744640, while the sum is 61.

The spelling of 577677610681 in words is "five hundred seventy-seven billion, six hundred seventy-seven million, six hundred ten thousand, six hundred eighty-one".