413258009 has 2 divisors, whose sum is σ = 413258010. Its totient is φ = 413258008.

The previous prime is 413257987. The next prime is 413258011. The reversal of 413258009 is 900852314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 385926025 + 27331984 = 19645^2 + 5228^2 .

It is a cyclic number.

It is not a de Polignac number, because 413258009 - 2¹⁶ = 413192473 is a prime.

Together with 413258011, 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 (413255009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206629004 + 206629005.

It is an arithmetic number, because the mean of its divisors is an integer number (206629005).

Almost surely, 2^413258009 is an apocalyptic number.

It is an amenable number.

413258009 is a deficient number, since it is larger than the sum of its proper divisors (1).

413258009 is an equidigital number, since it uses as much as digits as its factorization.

413258009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 413258009 is about 20328.7483382524. The cubic root of 413258009 is about 744.8584683772.

The spelling of 413258009 in words is "four hundred thirteen million, two hundred fifty-eight thousand, nine".