442053352521 has 48 divisors (see below), whose sum is σ = 710341107840. Its totient is φ = 262658108160.

The previous prime is 442053352451. The next prime is 442053352541. The reversal of 442053352521 is 125253350244.

442053352521 is a `hidden beast` number, since 4 + 4 + 20 + 533 + 52 + 52 + 1 = 666.

It is not a de Polignac number, because 442053352521 - 2⁷ = 442053352393 is a prime.

It is a super-2 number, since 2×442053352521² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (442053352541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1023775 + ... + 1390043.

It is an arithmetic number, because the mean of its divisors is an integer number (14798773080).

Almost surely, 2^442053352521 is an apocalyptic number.

It is an amenable number.

442053352521 is a deficient number, since it is larger than the sum of its proper divisors (268287755319).

442053352521 is a wasteful number, since it uses less digits than its factorization.

442053352521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366526 (or 366523 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 442053352521 in words is "four hundred forty-two billion, fifty-three million, three hundred fifty-two thousand, five hundred twenty-one".