415209313 has 2 divisors, whose sum is σ = 415209314. Its totient is φ = 415209312.

The previous prime is 415209239. The next prime is 415209341. The reversal of 415209313 is 313902514.

It is an a-pointer prime, because the next prime (415209341) can be obtained adding 415209313 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 244985104 + 170224209 = 15652^2 + 13047^2 .

It is a cyclic number.

It is not a de Polignac number, because 415209313 - 2¹³ = 415201121 is a prime.

It is not a weakly prime, because it can be changed into another prime (415209383) 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, 207604656 + 207604657.

It is an arithmetic number, because the mean of its divisors is an integer number (207604657).

Almost surely, 2^415209313 is an apocalyptic number.

It is an amenable number.

415209313 is a deficient number, since it is larger than the sum of its proper divisors (1).

415209313 is an equidigital number, since it uses as much as digits as its factorization.

415209313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 415209313 is about 20376.6855253743. The cubic root of 415209313 is about 746.0289749807.

The spelling of 415209313 in words is "four hundred fifteen million, two hundred nine thousand, three hundred thirteen".