413122142441017 has 2 divisors, whose sum is σ = 413122142441018. Its totient is φ = 413122142441016.

The previous prime is 413122142440967. The next prime is 413122142441069. The reversal of 413122142441017 is 710144241221314.

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., 238674814402816 + 174447328038201 = 15449104^2 + 13207851^2 .

It is a cyclic number.

It is not a de Polignac number, because 413122142441017 - 2¹⁵ = 413122142408249 is a prime.

It is not a weakly prime, because it can be changed into another prime (413122142441317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206561071220508 + 206561071220509.

It is an arithmetic number, because the mean of its divisors is an integer number (206561071220509).

Almost surely, 2^{413122142441017} is an apocalyptic number.

It is an amenable number.

413122142441017 is a deficient number, since it is larger than the sum of its proper divisors (1).

413122142441017 is an equidigital number, since it uses as much as digits as its factorization.

413122142441017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 413122142441017 in words is "four hundred thirteen trillion, one hundred twenty-two billion, one hundred forty-two million, four hundred forty-one thousand, seventeen".