42638759196301 has 2 divisors, whose sum is σ = 42638759196302. Its totient is φ = 42638759196300.

The previous prime is 42638759196259. The next prime is 42638759196329. The reversal of 42638759196301 is 10369195783624.

42638759196301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26853227640100 + 15785531556201 = 5182010^2 + 3973101^2 .

It is a cyclic number.

It is not a de Polignac number, because 42638759196301 - 2¹⁷ = 42638759065229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42638759196331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21319379598150 + 21319379598151.

It is an arithmetic number, because the mean of its divisors is an integer number (21319379598151).

It is a 1-persistent number, because it is pandigital, but 2⋅42638759196301 = 85277518392602 is not.

Almost surely, 2^{42638759196301} is an apocalyptic number.

It is an amenable number.

42638759196301 is a deficient number, since it is larger than the sum of its proper divisors (1).

42638759196301 is an equidigital number, since it uses as much as digits as its factorization.

42638759196301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58786560, while the sum is 64.

The spelling of 42638759196301 in words is "forty-two trillion, six hundred thirty-eight billion, seven hundred fifty-nine million, one hundred ninety-six thousand, three hundred one".