42005125133 has 2 divisors, whose sum is σ = 42005125134. Its totient is φ = 42005125132.

The previous prime is 42005125093. The next prime is 42005125153. The reversal of 42005125133 is 33152150024.

It is a happy number.

42005125133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38368190884 + 3636934249 = 195878^2 + 60307^2 .

It is a cyclic number.

It is not a de Polignac number, because 42005125133 - 2⁶ = 42005125069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42005125153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21002562566 + 21002562567.

It is an arithmetic number, because the mean of its divisors is an integer number (21002562567).

Almost surely, 2^42005125133 is an apocalyptic number.

It is an amenable number.

42005125133 is a deficient number, since it is larger than the sum of its proper divisors (1).

42005125133 is an equidigital number, since it uses as much as digits as its factorization.

42005125133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 42005125133 its reverse (33152150024), we get a palindrome (75157275157).

The spelling of 42005125133 in words is "forty-two billion, five million, one hundred twenty-five thousand, one hundred thirty-three".