413808205233 has 16 divisors (see below), whose sum is σ = 552274128000. Its totient is φ = 275607312000.

The previous prime is 413808205229. The next prime is 413808205271. The reversal of 413808205233 is 332502808314.

It is not a de Polignac number, because 413808205233 - 2² = 413808205229 is a prime.

It is a super-3 number, since 3×413808205233³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413808205191 and 413808205200.

It is not an unprimeable number, because it can be changed into a prime (413808205633) 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 in 15 ways as a sum of consecutive naturals, for example, 21768733 + ... + 21787733.

It is an arithmetic number, because the mean of its divisors is an integer number (34517133000).

Almost surely, 2^413808205233 is an apocalyptic number.

It is an amenable number.

413808205233 is a deficient number, since it is larger than the sum of its proper divisors (138465922767).

413808205233 is a wasteful number, since it uses less digits than its factorization.

413808205233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25592.

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 413808205233 in words is "four hundred thirteen billion, eight hundred eight million, two hundred five thousand, two hundred thirty-three".