416013133 has 2 divisors, whose sum is σ = 416013134. Its totient is φ = 416013132.

The previous prime is 416013127. The next prime is 416013161. The reversal of 416013133 is 331310614.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 266244489 + 149768644 = 16317^2 + 12238^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-416013133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416013233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208006566 + 208006567.

It is an arithmetic number, because the mean of its divisors is an integer number (208006567).

Almost surely, 2^416013133 is an apocalyptic number.

It is an amenable number.

416013133 is a deficient number, since it is larger than the sum of its proper divisors (1).

416013133 is an equidigital number, since it uses as much as digits as its factorization.

416013133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 416013133 is about 20396.4000009806. The cubic root of 416013133 is about 746.5100869008.

Adding to 416013133 its reverse (331310614), we get a palindrome (747323747).

The spelling of 416013133 in words is "four hundred sixteen million, thirteen thousand, one hundred thirty-three".