413213033205 has 96 divisors (see below), whose sum is σ = 855565804800. Its totient is φ = 188669706624.

The previous prime is 413213033179. The next prime is 413213033227. The reversal of 413213033205 is 502330312314.

413213033205 is a `hidden beast` number, since 4 + 1 + 32 + 1 + 303 + 320 + 5 = 666.

It is not a de Polignac number, because 413213033205 - 2¹³ = 413213025013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5512759 + ... + 5587211.

It is an arithmetic number, because the mean of its divisors is an integer number (8912143800).

Almost surely, 2^413213033205 is an apocalyptic number.

413213033205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413213033205 is an abundant number, since it is smaller than the sum of its proper divisors (442352771595).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413213033205 is a wasteful number, since it uses less digits than its factorization.

413213033205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75320 (or 75307 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 413213033205 its reverse (502330312314), we get a palindrome (915543345519).

The spelling of 413213033205 in words is "four hundred thirteen billion, two hundred thirteen million, thirty-three thousand, two hundred five".