42688762057 has 2 divisors, whose sum is σ = 42688762058. Its totient is φ = 42688762056.

The previous prime is 42688762049. The next prime is 42688762063. The reversal of 42688762057 is 75026788624.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26310137616 + 16378624441 = 162204^2 + 127979^2 .

It is a cyclic number.

It is not a de Polignac number, because 42688762057 - 2³ = 42688762049 is a prime.

It is a super-3 number, since 3×42688762057³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42688761989 and 42688762007.

It is not a weakly prime, because it can be changed into another prime (42688762007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21344381028 + 21344381029.

It is an arithmetic number, because the mean of its divisors is an integer number (21344381029).

Almost surely, 2^42688762057 is an apocalyptic number.

It is an amenable number.

42688762057 is a deficient number, since it is larger than the sum of its proper divisors (1).

42688762057 is an equidigital number, since it uses as much as digits as its factorization.

42688762057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9031680, while the sum is 55.

The spelling of 42688762057 in words is "forty-two billion, six hundred eighty-eight million, seven hundred sixty-two thousand, fifty-seven".