414503064013 has 2 divisors, whose sum is σ = 414503064014. Its totient is φ = 414503064012.

The previous prime is 414503063893. The next prime is 414503064023. The reversal of 414503064013 is 310460305414.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 363389541124 + 51113522889 = 602818^2 + 226083^2 .

It is a cyclic number.

It is not a de Polignac number, because 414503064013 - 2⁹ = 414503063501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414503064023) 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, 207251532006 + 207251532007.

It is an arithmetic number, because the mean of its divisors is an integer number (207251532007).

Almost surely, 2^414503064013 is an apocalyptic number.

It is an amenable number.

414503064013 is a deficient number, since it is larger than the sum of its proper divisors (1).

414503064013 is an equidigital number, since it uses as much as digits as its factorization.

414503064013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 414503064013 its reverse (310460305414), we get a palindrome (724963369427).

The spelling of 414503064013 in words is "four hundred fourteen billion, five hundred three million, sixty-four thousand, thirteen".