413072129 has 2 divisors, whose sum is σ = 413072130. Its totient is φ = 413072128.

The previous prime is 413072083. The next prime is 413072167. The reversal of 413072129 is 921270314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 384160000 + 28912129 = 19600^2 + 5377^2 .

It is a cyclic number.

It is not a de Polignac number, because 413072129 - 2²⁰ = 412023553 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (413072189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206536064 + 206536065.

It is an arithmetic number, because the mean of its divisors is an integer number (206536065).

Almost surely, 2^413072129 is an apocalyptic number.

It is an amenable number.

413072129 is a deficient number, since it is larger than the sum of its proper divisors (1).

413072129 is an equidigital number, since it uses as much as digits as its factorization.

413072129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 413072129 is about 20324.1759734558. The cubic root of 413072129 is about 744.7467745904.

The spelling of 413072129 in words is "four hundred thirteen million, seventy-two thousand, one hundred twenty-nine".