413033401129 has 2 divisors, whose sum is σ = 413033401130. Its totient is φ = 413033401128.

The previous prime is 413033401097. The next prime is 413033401171. The reversal of 413033401129 is 921104330314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 258877440000 + 154155961129 = 508800^2 + 392627^2 .

It is a cyclic number.

It is not a de Polignac number, because 413033401129 - 2⁵ = 413033401097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 413033401129.

It is not a weakly prime, because it can be changed into another prime (413033402129) 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, 206516700564 + 206516700565.

It is an arithmetic number, because the mean of its divisors is an integer number (206516700565).

Almost surely, 2^413033401129 is an apocalyptic number.

It is an amenable number.

413033401129 is a deficient number, since it is larger than the sum of its proper divisors (1).

413033401129 is an equidigital number, since it uses as much as digits as its factorization.

413033401129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 413033401129 in words is "four hundred thirteen billion, thirty-three million, four hundred one thousand, one hundred twenty-nine".