42013355206057 has 2 divisors, whose sum is σ = 42013355206058. Its totient is φ = 42013355206056.

The previous prime is 42013355205949. The next prime is 42013355206133. The reversal of 42013355206057 is 75060255331024.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27977212843801 + 14036142362256 = 5289349^2 + 3746484^2 .

It is a cyclic number.

It is not a de Polignac number, because 42013355206057 - 2²⁷ = 42013220988329 is a prime.

It is not a weakly prime, because it can be changed into another prime (42013355206357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21006677603028 + 21006677603029.

It is an arithmetic number, because the mean of its divisors is an integer number (21006677603029).

Almost surely, 2^{42013355206057} is an apocalyptic number.

It is an amenable number.

42013355206057 is a deficient number, since it is larger than the sum of its proper divisors (1).

42013355206057 is an equidigital number, since it uses as much as digits as its factorization.

42013355206057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756000, while the sum is 43.

The spelling of 42013355206057 in words is "forty-two trillion, thirteen billion, three hundred fifty-five million, two hundred six thousand, fifty-seven".