413129147 has 2 divisors, whose sum is σ = 413129148. Its totient is φ = 413129146.

The previous prime is 413129113. The next prime is 413129159. The reversal of 413129147 is 741921314.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 413129147 - 2⁶ = 413129083 is a prime.

It is a super-3 number, since 3×413129147³ (a number of 27 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (413129177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206564573 + 206564574.

It is an arithmetic number, because the mean of its divisors is an integer number (206564574).

Almost surely, 2^413129147 is an apocalyptic number.

413129147 is a deficient number, since it is larger than the sum of its proper divisors (1).

413129147 is an equidigital number, since it uses as much as digits as its factorization.

413129147 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 32.

The square root of 413129147 is about 20325.5786387497. The cubic root of 413129147 is about 744.7810398070.

The spelling of 413129147 in words is "four hundred thirteen million, one hundred twenty-nine thousand, one hundred forty-seven".