442105505513 has 12 divisors (see below), whose sum is σ = 514834914132. Its totient is φ = 378543110400.

The previous prime is 442105505507. The next prime is 442105505531. The reversal of 442105505513 is 315505501244.

It can be written as a sum of positive squares in 2 ways, for example, as 240264668224 + 201840837289 = 490168^2 + 449267^2 .

It is not a de Polignac number, because 442105505513 - 2⁶ = 442105505449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442105505563) 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 in 11 ways as a sum of consecutive naturals, for example, 4768688 + ... + 4860513.

It is an arithmetic number, because the mean of its divisors is an integer number (42902909511).

Almost surely, 2^442105505513 is an apocalyptic number.

It is an amenable number.

442105505513 is a deficient number, since it is larger than the sum of its proper divisors (72729408619).

442105505513 is an equidigital number, since it uses as much as digits as its factorization.

442105505513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9630152 (or 9630145 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 442105505513 in words is "four hundred forty-two billion, one hundred five million, five hundred five thousand, five hundred thirteen".