413124405329 has 2 divisors, whose sum is σ = 413124405330. Its totient is φ = 413124405328.

The previous prime is 413124405301. The next prime is 413124405377. The reversal of 413124405329 is 923504421314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 368424720400 + 44699684929 = 606980^2 + 211423^2 .

It is a cyclic number.

It is not a de Polignac number, because 413124405329 - 2³² = 408829438033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413124405292 and 413124405301.

It is not a weakly prime, because it can be changed into another prime (413124401329) 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, 206562202664 + 206562202665.

It is an arithmetic number, because the mean of its divisors is an integer number (206562202665).

Almost surely, 2^413124405329 is an apocalyptic number.

It is an amenable number.

413124405329 is a deficient number, since it is larger than the sum of its proper divisors (1).

413124405329 is an equidigital number, since it uses as much as digits as its factorization.

413124405329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 413124405329 in words is "four hundred thirteen billion, one hundred twenty-four million, four hundred five thousand, three hundred twenty-nine".