413613313237 has 2 divisors, whose sum is σ = 413613313238. Its totient is φ = 413613313236.

The previous prime is 413613313199. The next prime is 413613313241. The reversal of 413613313237 is 732313316314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229914496036 + 183698817201 = 479494^2 + 428601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413613313237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413613313196 and 413613313205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413613313297) 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, 206806656618 + 206806656619.

It is an arithmetic number, because the mean of its divisors is an integer number (206806656619).

Almost surely, 2^413613313237 is an apocalyptic number.

It is an amenable number.

413613313237 is a deficient number, since it is larger than the sum of its proper divisors (1).

413613313237 is an equidigital number, since it uses as much as digits as its factorization.

413613313237 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 81648, while the sum is 37.

The spelling of 413613313237 in words is "four hundred thirteen billion, six hundred thirteen million, three hundred thirteen thousand, two hundred thirty-seven".