415332013 has 2 divisors, whose sum is σ = 415332014. Its totient is φ = 415332012.

The previous prime is 415332007. The next prime is 415332031. The reversal of 415332013 is 310233514.

Together with next prime (415332031) 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., 396686889 + 18645124 = 19917^2 + 4318^2 .

It is a cyclic number.

It is not a de Polignac number, because 415332013 - 2¹⁷ = 415200941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (415732013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207666006 + 207666007.

It is an arithmetic number, because the mean of its divisors is an integer number (207666007).

Almost surely, 2^415332013 is an apocalyptic number.

It is an amenable number.

415332013 is a deficient number, since it is larger than the sum of its proper divisors (1).

415332013 is an equidigital number, since it uses as much as digits as its factorization.

415332013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 415332013 is about 20379.6960968509. The cubic root of 415332013 is about 746.1024549798.

Adding to 415332013 its reverse (310233514), we get a palindrome (725565527).

The spelling of 415332013 in words is "four hundred fifteen million, three hundred thirty-two thousand, thirteen".