414435013 has 2 divisors, whose sum is σ = 414435014. Its totient is φ = 414435012.

The previous prime is 414434981. The next prime is 414435041. The reversal of 414435013 is 310534414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 307581444 + 106853569 = 17538^2 + 10337^2 .

It is a cyclic number.

It is not a de Polignac number, because 414435013 - 2⁵ = 414434981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414435083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207217506 + 207217507.

It is an arithmetic number, because the mean of its divisors is an integer number (207217507).

Almost surely, 2^414435013 is an apocalyptic number.

It is an amenable number.

414435013 is a deficient number, since it is larger than the sum of its proper divisors (1).

414435013 is an equidigital number, since it uses as much as digits as its factorization.

414435013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 414435013 is about 20357.6770040199. The cubic root of 414435013 is about 745.5649442173.

Adding to 414435013 its reverse (310534414), we get a palindrome (724969427).

The spelling of 414435013 in words is "four hundred fourteen million, four hundred thirty-five thousand, thirteen".