42052224033 has 16 divisors (see below), whose sum is σ = 62305431360. Its totient is φ = 28032187968.

The previous prime is 42052224013. The next prime is 42052224073. The reversal of 42052224033 is 33042225024.

It is a happy number.

It is not a de Polignac number, because 42052224033 - 2⁵ = 42052224001 is a prime.

It is a super-2 number, since 2×42052224033² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42052223988 and 42052224006.

It is not an unprimeable number, because it can be changed into a prime (42052224013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245641 + ... + 380057.

It is an arithmetic number, because the mean of its divisors is an integer number (3894089460).

Almost surely, 2^42052224033 is an apocalyptic number.

It is an amenable number.

42052224033 is a deficient number, since it is larger than the sum of its proper divisors (20253207327).

42052224033 is a wasteful number, since it uses less digits than its factorization.

42052224033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146013 (or 146007 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 42052224033 its reverse (33042225024), we get a palindrome (75094449057).

Subtracting from 42052224033 its reverse (33042225024), we obtain a palindrome (9009999009).

It can be divided in two parts, 42052 and 224033, that added together give a triangular number (266085 = T₇₂₉).

The spelling of 42052224033 in words is "forty-two billion, fifty-two million, two hundred twenty-four thousand, thirty-three".