442541523001993 has 2 divisors, whose sum is σ = 442541523001994. Its totient is φ = 442541523001992.

The previous prime is 442541523001979. The next prime is 442541523002039. The reversal of 442541523001993 is 399100325145244.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 424793864438784 + 17747658563209 = 20610528^2 + 4212797^2 .

It is a cyclic number.

It is not a de Polignac number, because 442541523001993 - 2⁹ = 442541523001481 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 442541523001993.

It is not a weakly prime, because it can be changed into another prime (442541523001933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221270761500996 + 221270761500997.

It is an arithmetic number, because the mean of its divisors is an integer number (221270761500997).

Almost surely, 2^{442541523001993} is an apocalyptic number.

It is an amenable number.

442541523001993 is a deficient number, since it is larger than the sum of its proper divisors (1).

442541523001993 is an equidigital number, since it uses as much as digits as its factorization.

442541523001993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4665600, while the sum is 52.

The spelling of 442541523001993 in words is "four hundred forty-two trillion, five hundred forty-one billion, five hundred twenty-three million, one thousand, nine hundred ninety-three".