577271661057 has 64 divisors (see below), whose sum is σ = 1107973888000. Its totient is φ = 288468869184.

The previous prime is 577271661037. The next prime is 577271661059. The reversal of 577271661057 is 750166172775.

577271661057 is a `hidden beast` number, since 5 + 7 + 7 + 2 + 7 + 16 + 610 + 5 + 7 = 666.

It is not a de Polignac number, because 577271661057 - 2¹² = 577271656961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 577271660994 and 577271661012.

It is not an unprimeable number, because it can be changed into a prime (577271661059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6136207 + ... + 6229572.

It is an arithmetic number, because the mean of its divisors is an integer number (17312092000).

Almost surely, 2^577271661057 is an apocalyptic number.

577271661057 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

577271661057 is a deficient number, since it is larger than the sum of its proper divisors (530702226943).

577271661057 is a wasteful number, since it uses less digits than its factorization.

577271661057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12365827 (or 12365821 counting only the distinct ones).

The product of its (nonzero) digits is 4321800, while the sum is 54.

The spelling of 577271661057 in words is "five hundred seventy-seven billion, two hundred seventy-one million, six hundred sixty-one thousand, fifty-seven".