42010033 has 4 divisors (see below), whose sum is σ = 45241588. Its totient is φ = 38778480.

The previous prime is 42010027. The next prime is 42010037. The reversal of 42010033 is 33001024.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 3470769 + 38539264 = 1863^2 + 6208^2 .

It is not a de Polignac number, because 42010033 - 2¹⁷ = 41878961 is a prime.

It is a super-2 number, since 2×42010033² = 3529685745322178, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 3231541 = 42010033 / (4 + 2 + 0 + 1 + 0 + 0 + 3 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42009995 and 42010022.

It is not an unprimeable number, because it can be changed into a prime (42010037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1615758 + ... + 1615783.

It is an arithmetic number, because the mean of its divisors is an integer number (11310397).

Almost surely, 2^42010033 is an apocalyptic number.

It is an amenable number.

42010033 is a deficient number, since it is larger than the sum of its proper divisors (3231555).

42010033 is a wasteful number, since it uses less digits than its factorization.

42010033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231554.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 42010033 is about 6481.5147149413. The cubic root of 42010033 is about 347.6303408368.

Adding to 42010033 its reverse (33001024), we get a palindrome (75011057).

Subtracting from 42010033 its reverse (33001024), we obtain a palindrome (9009009).

The spelling of 42010033 in words is "forty-two million, ten thousand, thirty-three".