40135033 has 2 divisors, whose sum is σ = 40135034. Its totient is φ = 40135032.

The previous prime is 40135027. The next prime is 40135037. The reversal of 40135033 is 33053104.

40135033 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., 36324729 + 3810304 = 6027^2 + 1952^2 .

It is a cyclic number.

It is not a de Polignac number, because 40135033 - 2¹⁷ = 40003961 is a prime.

It is a super-2 number, since 2×40135033² = 3221641747822178, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40135033.

It is not a weakly prime, because it can be changed into another prime (40135037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20067516 + 20067517.

It is an arithmetic number, because the mean of its divisors is an integer number (20067517).

Almost surely, 2^40135033 is an apocalyptic number.

It is an amenable number.

40135033 is a deficient number, since it is larger than the sum of its proper divisors (1).

40135033 is an equidigital number, since it uses as much as digits as its factorization.

40135033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 40135033 is about 6335.2216220113. The cubic root of 40135033 is about 342.3795957331.

Adding to 40135033 its reverse (33053104), we get a palindrome (73188137).

The spelling of 40135033 in words is "forty million, one hundred thirty-five thousand, thirty-three".