413313007 has 2 divisors, whose sum is σ = 413313008. Its totient is φ = 413313006.

The previous prime is 413313001. The next prime is 413313071. The reversal of 413313007 is 700313314.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413313007 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413313001) 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, 206656503 + 206656504.

It is an arithmetic number, because the mean of its divisors is an integer number (206656504).

Almost surely, 2^413313007 is an apocalyptic number.

413313007 is a deficient number, since it is larger than the sum of its proper divisors (1).

413313007 is an equidigital number, since it uses as much as digits as its factorization.

413313007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 413313007 is about 20330.1010081111. The cubic root of 413313007 is about 744.8915098089.

The spelling of 413313007 in words is "four hundred thirteen million, three hundred thirteen thousand, seven".