413242013 has 2 divisors, whose sum is σ = 413242014. Its totient is φ = 413242012.

The previous prime is 413242009. The next prime is 413242031. The reversal of 413242013 is 310242314.

Together with next prime (413242031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300606244 + 112635769 = 17338^2 + 10613^2 .

It is a cyclic number.

It is not a de Polignac number, because 413242013 - 2² = 413242009 is a prime.

It is a super-2 number, since 2×413242013² = 341537922616584338, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413242073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206621006 + 206621007.

It is an arithmetic number, because the mean of its divisors is an integer number (206621007).

Almost surely, 2^413242013 is an apocalyptic number.

It is an amenable number.

413242013 is a deficient number, since it is larger than the sum of its proper divisors (1).

413242013 is an equidigital number, since it uses as much as digits as its factorization.

413242013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 413242013 is about 20328.3549014671. The cubic root of 413242013 is about 744.8488578276.

Adding to 413242013 its reverse (310242314), we get a palindrome (723484327).

The spelling of 413242013 in words is "four hundred thirteen million, two hundred forty-two thousand, thirteen".