4004513 has 2 divisors, whose sum is σ = 4004514. Its totient is φ = 4004512.

The previous prime is 4004509. The next prime is 4004527. The reversal of 4004513 is 3154004.

4004513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3869089 + 135424 = 1967^2 + 368^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004513 - 2² = 4004509 is a prime.

It is a super-2 number, since 2×4004513² = 32072248734338, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 4004491 and 4004500.

It is not a weakly prime, because it can be changed into another prime (4004213) 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 as a sum of consecutive naturals, namely, 2002256 + 2002257.

It is an arithmetic number, because the mean of its divisors is an integer number (2002257).

Almost surely, 2^4004513 is an apocalyptic number.

It is an amenable number.

4004513 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004513 is an equidigital number, since it uses as much as digits as its factorization.

4004513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 4004513 is about 2001.1279319424. The cubic root of 4004513 is about 158.7997822668.

Adding to 4004513 its reverse (3154004), we get a palindrome (7158517).

It can be divided in two parts, 400 and 4513, that added together give a cube (4913 = 17³).

The spelling of 4004513 in words is "four million, four thousand, five hundred thirteen".