42133005 has 24 divisors (see below), whose sum is σ = 74232600. Its totient is φ = 22101120.

The previous prime is 42133001. The next prime is 42133043. The reversal of 42133005 is 50033124.

It can be written as a sum of positive squares in 4 ways, for example, as 181476 + 41951529 = 426^2 + 6477^2 .

It is not a de Polignac number, because 42133005 - 2² = 42133001 is a prime.

It is a super-2 number, since 2×42133005² = 3550380220660050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42133001) 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 23 ways as a sum of consecutive naturals, for example, 4930 + ... + 10419.

It is an arithmetic number, because the mean of its divisors is an integer number (3093025).

Almost surely, 2^42133005 is an apocalyptic number.

42133005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42133005 is a deficient number, since it is larger than the sum of its proper divisors (32099595).

42133005 is a wasteful number, since it uses less digits than its factorization.

42133005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15421 (or 15418 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 42133005 is about 6490.9941457376. The cubic root of 42133005 is about 347.9692055589.

Adding to 42133005 its reverse (50033124), we get a palindrome (92166129).

The spelling of 42133005 in words is "forty-two million, one hundred thirty-three thousand, five".