42005605701061 has 2 divisors, whose sum is σ = 42005605701062. Its totient is φ = 42005605701060.

The previous prime is 42005605701043. The next prime is 42005605701107. The reversal of 42005605701061 is 16010750650024.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41372039052100 + 633566648961 = 6432110^2 + 795969^2 .

It is a cyclic number.

It is not a de Polignac number, because 42005605701061 - 2¹⁵ = 42005605668293 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42005605701061.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42005605711061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21002802850530 + 21002802850531.

It is an arithmetic number, because the mean of its divisors is an integer number (21002802850531).

Almost surely, 2^{42005605701061} is an apocalyptic number.

It is an amenable number.

42005605701061 is a deficient number, since it is larger than the sum of its proper divisors (1).

42005605701061 is an equidigital number, since it uses as much as digits as its factorization.

42005605701061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 42005605701061 in words is "forty-two trillion, five billion, six hundred five million, seven hundred one thousand, sixty-one".