2731577006057 has 2 divisors, whose sum is σ = 2731577006058. Its totient is φ = 2731577006056.

The previous prime is 2731577006051. The next prime is 2731577006071. The reversal of 2731577006057 is 7506007751372.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2558771347456 + 172805658601 = 1599616^2 + 415699^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2731577006057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2731577005996 and 2731577006014.

It is not a weakly prime, because it can be changed into another prime (2731577006051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1365788503028 + 1365788503029.

It is an arithmetic number, because the mean of its divisors is an integer number (1365788503029).

Almost surely, 2^{2731577006057} is an apocalyptic number.

It is an amenable number.

2731577006057 is a deficient number, since it is larger than the sum of its proper divisors (1).

2731577006057 is an equidigital number, since it uses as much as digits as its factorization.

2731577006057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160900, while the sum is 50.

The spelling of 2731577006057 in words is "two trillion, seven hundred thirty-one billion, five hundred seventy-seven million, six thousand, fifty-seven".