415110013 has 2 divisors, whose sum is σ = 415110014. Its totient is φ = 415110012.

The previous prime is 415110011. The next prime is 415110053. The reversal of 415110013 is 310011514.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 394697689 + 20412324 = 19867^2 + 4518^2 .

It is a cyclic number.

It is not a de Polignac number, because 415110013 - 2¹ = 415110011 is a prime.

Together with 415110011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (415110011) 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, 207555006 + 207555007.

It is an arithmetic number, because the mean of its divisors is an integer number (207555007).

Almost surely, 2^415110013 is an apocalyptic number.

It is an amenable number.

415110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

415110013 is an equidigital number, since it uses as much as digits as its factorization.

415110013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 415110013 is about 20374.2487714271. The cubic root of 415110013 is about 745.9694976831.

Adding to 415110013 its reverse (310011514), we get a palindrome (725121527).

The spelling of 415110013 in words is "four hundred fifteen million, one hundred ten thousand, thirteen".