442013551424253 has 24 divisors (see below), whose sum is σ = 646246622024640. Its totient is φ = 291084722127360.

The previous prime is 442013551424209. The next prime is 442013551424293. The reversal of 442013551424253 is 352424155310244.

442013551424253 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 1 + 3 + 551 + 4 + 2 + 42 + 53 = 666.

It is not a de Polignac number, because 442013551424253 - 2²¹ = 442013549327101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442013551424199 and 442013551424208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442013551424293) 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, 35979108 + ... + 46674653.

It is an arithmetic number, because the mean of its divisors is an integer number (26926942584360).

Almost surely, 2^{442013551424253} is an apocalyptic number.

It is an amenable number.

442013551424253 is a deficient number, since it is larger than the sum of its proper divisors (204233070600387).

442013551424253 is a wasteful number, since it uses less digits than its factorization.

442013551424253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82661009 (or 82661006 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 442013551424253 in words is "four hundred forty-two trillion, thirteen billion, five hundred fifty-one million, four hundred twenty-four thousand, two hundred fifty-three".