42006334213153 has 2 divisors, whose sum is σ = 42006334213154. Its totient is φ = 42006334213152.

The previous prime is 42006334213111. The next prime is 42006334213157. The reversal of 42006334213153 is 35131243360024.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40071583964944 + 1934750248209 = 6330212^2 + 1390953^2 .

It is a cyclic number.

It is not a de Polignac number, because 42006334213153 - 2²⁹ = 42005797342241 is a prime.

It is a super-2 number, since 2×42006334213153² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42006334213157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21003167106576 + 21003167106577.

It is an arithmetic number, because the mean of its divisors is an integer number (21003167106577).

Almost surely, 2^{42006334213153} is an apocalyptic number.

It is an amenable number.

42006334213153 is a deficient number, since it is larger than the sum of its proper divisors (1).

42006334213153 is an equidigital number, since it uses as much as digits as its factorization.

42006334213153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 37.

Adding to 42006334213153 its reverse (35131243360024), we get a palindrome (77137577573177).

The spelling of 42006334213153 in words is "forty-two trillion, six billion, three hundred thirty-four million, two hundred thirteen thousand, one hundred fifty-three".