42031361566081 has 2 divisors, whose sum is σ = 42031361566082. Its totient is φ = 42031361566080.

The previous prime is 42031361565983. The next prime is 42031361566087. The reversal of 42031361566081 is 18066516313024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27270328410000 + 14761033156081 = 5222100^2 + 3842009^2 .

It is a cyclic number.

It is not a de Polignac number, because 42031361566081 - 2⁹ = 42031361565569 is a prime.

It is a super-2 number, since 2×42031361566081² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42031361566087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21015680783040 + 21015680783041.

It is an arithmetic number, because the mean of its divisors is an integer number (21015680783041).

Almost surely, 2^{42031361566081} is an apocalyptic number.

It is an amenable number.

42031361566081 is a deficient number, since it is larger than the sum of its proper divisors (1).

42031361566081 is an equidigital number, since it uses as much as digits as its factorization.

42031361566081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 42031361566081 in words is "forty-two trillion, thirty-one billion, three hundred sixty-one million, five hundred sixty-six thousand, eighty-one".