4004042533 has 16 divisors (see below), whose sum is σ = 4084852464. Its totient is φ = 3924264960.

The previous prime is 4004042503. The next prime is 4004042551. The reversal of 4004042533 is 3352404004.

It can be written as a sum of positive squares in 8 ways, for example, as 127983969 + 3876058564 = 11313^2 + 62258^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4004042533 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4004042498 and 4004042507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004042503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6057223 + ... + 6057883.

It is an arithmetic number, because the mean of its divisors is an integer number (255303279).

Almost surely, 2^4004042533 is an apocalyptic number.

It is an amenable number.

4004042533 is a deficient number, since it is larger than the sum of its proper divisors (80809931).

4004042533 is a wasteful number, since it uses less digits than its factorization.

4004042533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272.

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 4004042533 is about 63277.5041622218. The cubic root of 4004042533 is about 1587.9356320152.

Adding to 4004042533 its reverse (3352404004), we get a palindrome (7356446537).

The spelling of 4004042533 in words is "four billion, four million, forty-two thousand, five hundred thirty-three".