413025221342205 has 96 divisors (see below), whose sum is σ = 733390764986880. Its totient is φ = 214959408768000.

The previous prime is 413025221342203. The next prime is 413025221342273. The reversal of 413025221342205 is 502243122520314.

413025221342205 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 2 + 5 + 221 + 3 + 422 + 0 + 5 = 666.

It is not a de Polignac number, because 413025221342205 - 2¹ = 413025221342203 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 413025221342205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413025221342203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1409106265 + ... + 1409399345.

It is an arithmetic number, because the mean of its divisors is an integer number (7639487135280).

Almost surely, 2^{413025221342205} is an apocalyptic number.

413025221342205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413025221342205 is a deficient number, since it is larger than the sum of its proper divisors (320365543644675).

413025221342205 is a wasteful number, since it uses less digits than its factorization.

413025221342205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297203 (or 297200 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 413025221342205 its reverse (502243122520314), we get a palindrome (915268343862519).

The spelling of 413025221342205 in words is "four hundred thirteen trillion, twenty-five billion, two hundred twenty-one million, three hundred forty-two thousand, two hundred five".