42872312033 has 2 divisors, whose sum is σ = 42872312034. Its totient is φ = 42872312032.

The previous prime is 42872312003. The next prime is 42872312039. The reversal of 42872312033 is 33021327824.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28499179489 + 14373132544 = 168817^2 + 119888^2 .

It is a cyclic number.

It is not a de Polignac number, because 42872312033 - 2⁶ = 42872311969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42872311984 and 42872312002.

It is not a weakly prime, because it can be changed into another prime (42872312039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21436156016 + 21436156017.

It is an arithmetic number, because the mean of its divisors is an integer number (21436156017).

Almost surely, 2^42872312033 is an apocalyptic number.

It is an amenable number.

42872312033 is a deficient number, since it is larger than the sum of its proper divisors (1).

42872312033 is an equidigital number, since it uses as much as digits as its factorization.

42872312033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 35.

Adding to 42872312033 its reverse (33021327824), we get a palindrome (75893639857).

The spelling of 42872312033 in words is "forty-two billion, eight hundred seventy-two million, three hundred twelve thousand, thirty-three".