413033420117 has 2 divisors, whose sum is σ = 413033420118. Its totient is φ = 413033420116.

The previous prime is 413033420089. The next prime is 413033420143. The reversal of 413033420117 is 711024330314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 324946741681 + 88086678436 = 570041^2 + 296794^2 .

It is a cyclic number.

It is not a de Polignac number, because 413033420117 - 2¹⁸ = 413033157973 is a prime.

It is a super-2 number, since 2×413033420117² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413033420117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413033422117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206516710058 + 206516710059.

It is an arithmetic number, because the mean of its divisors is an integer number (206516710059).

Almost surely, 2^413033420117 is an apocalyptic number.

It is an amenable number.

413033420117 is a deficient number, since it is larger than the sum of its proper divisors (1).

413033420117 is an equidigital number, since it uses as much as digits as its factorization.

413033420117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 29.

The spelling of 413033420117 in words is "four hundred thirteen billion, thirty-three million, four hundred twenty thousand, one hundred seventeen".