413020412009 has 2 divisors, whose sum is σ = 413020412010. Its totient is φ = 413020412008.

The previous prime is 413020412003. The next prime is 413020412011. The reversal of 413020412009 is 900214020314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 392032515625 + 20987896384 = 626125^2 + 144872^2 .

It is a cyclic number.

It is not a de Polignac number, because 413020412009 - 2³² = 408725444713 is a prime.

It is a super-2 number, since 2×413020412009² (a number of 24 digits) contains 22 as substring.

Together with 413020412011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (413020412003) 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, 206510206004 + 206510206005.

It is an arithmetic number, because the mean of its divisors is an integer number (206510206005).

Almost surely, 2^413020412009 is an apocalyptic number.

It is an amenable number.

413020412009 is a deficient number, since it is larger than the sum of its proper divisors (1).

413020412009 is an equidigital number, since it uses as much as digits as its factorization.

413020412009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 413020412009 in words is "four hundred thirteen billion, twenty million, four hundred twelve thousand, nine".