415200013 has 2 divisors, whose sum is σ = 415200014. Its totient is φ = 415200012.

The previous prime is 415200011. The next prime is 415200029. The reversal of 415200013 is 310002514.

It is an a-pointer prime, because the next prime (415200029) can be obtained adding 415200013 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 229886244 + 185313769 = 15162^2 + 13613^2 .

It is a cyclic number.

It is not a de Polignac number, because 415200013 - 2¹ = 415200011 is a prime.

Together with 415200011, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 415200013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (415200011) 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, 207600006 + 207600007.

It is an arithmetic number, because the mean of its divisors is an integer number (207600007).

Almost surely, 2^415200013 is an apocalyptic number.

It is an amenable number.

415200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

415200013 is an equidigital number, since it uses as much as digits as its factorization.

415200013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 415200013 is about 20376.4573221156. The cubic root of 415200013 is about 746.0234050018.

Adding to 415200013 its reverse (310002514), we get a palindrome (725202527).

The spelling of 415200013 in words is "four hundred fifteen million, two hundred thousand, thirteen".