4133513 has 2 divisors, whose sum is σ = 4133514. Its totient is φ = 4133512.

The previous prime is 4133473. The next prime is 4133527. The reversal of 4133513 is 3153314.

It is a happy number.

4133513 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., 4129024 + 4489 = 2032^2 + 67^2 .

It is a cyclic number.

It is not a de Polignac number, because 4133513 - 2⁶ = 4133449 is a prime.

It is not a weakly prime, because it can be changed into another prime (4133593) 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, 2066756 + 2066757.

It is an arithmetic number, because the mean of its divisors is an integer number (2066757).

Almost surely, 2^4133513 is an apocalyptic number.

It is an amenable number.

4133513 is a deficient number, since it is larger than the sum of its proper divisors (1).

4133513 is an equidigital number, since it uses as much as digits as its factorization.

4133513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540, while the sum is 20.

The square root of 4133513 is about 2033.1042767158. The cubic root of 4133513 is about 160.4869669124.

Adding to 4133513 its reverse (3153314), we get a palindrome (7286827).

The spelling of 4133513 in words is "four million, one hundred thirty-three thousand, five hundred thirteen".