442053443313 has 24 divisors (see below), whose sum is σ = 641893636800. Its totient is φ = 293146745760.

The previous prime is 442053443263. The next prime is 442053443417. The reversal of 442053443313 is 313344350244.

It is a happy number.

442053443313 is a `hidden beast` number, since 4 + 4 + 205 + 3 + 4 + 433 + 13 = 666.

It is not a de Polignac number, because 442053443313 - 2⁸ = 442053443057 is a prime.

It is a super-2 number, since 2×442053443313² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442053443113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7512595 + ... + 7571207.

It is an arithmetic number, because the mean of its divisors is an integer number (26745568200).

Almost surely, 2^442053443313 is an apocalyptic number.

It is an amenable number.

442053443313 is a deficient number, since it is larger than the sum of its proper divisors (199840193487).

442053443313 is a wasteful number, since it uses less digits than its factorization.

442053443313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63029 (or 63026 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 442053443313 its reverse (313344350244), we get a palindrome (755397793557).

The spelling of 442053443313 in words is "four hundred forty-two billion, fifty-three million, four hundred forty-three thousand, three hundred thirteen".