413133331157 has 2 divisors, whose sum is σ = 413133331158. Its totient is φ = 413133331156.

The previous prime is 413133331153. The next prime is 413133331207. The reversal of 413133331157 is 751133331314.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 385105883761 + 28027447396 = 620569^2 + 167414^2 .

It is a cyclic number.

It is not a de Polignac number, because 413133331157 - 2² = 413133331153 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413133331153) 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, 206566665578 + 206566665579.

It is an arithmetic number, because the mean of its divisors is an integer number (206566665579).

Almost surely, 2^413133331157 is an apocalyptic number.

It is an amenable number.

413133331157 is a deficient number, since it is larger than the sum of its proper divisors (1).

413133331157 is an equidigital number, since it uses as much as digits as its factorization.

413133331157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34020, while the sum is 35.

The spelling of 413133331157 in words is "four hundred thirteen billion, one hundred thirty-three million, three hundred thirty-one thousand, one hundred fifty-seven".