413135040105 has 24 divisors (see below), whose sum is σ = 716187485832. Its totient is φ = 220311995904.

The previous prime is 413135040083. The next prime is 413135040107. The reversal of 413135040105 is 501040531314.

It is a happy number.

413135040105 is a `hidden beast` number, since 41 + 3 + 13 + 504 + 0 + 105 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 250388150544 + 162746889561 = 500388^2 + 403419^2 .

It is not a de Polignac number, because 413135040105 - 2¹⁸ = 413134777961 is a prime.

It is a super-2 number, since 2×413135040105² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413135040107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177664 + ... + 926193.

It is an arithmetic number, because the mean of its divisors is an integer number (29841145243).

Almost surely, 2^413135040105 is an apocalyptic number.

413135040105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413135040105 is a deficient number, since it is larger than the sum of its proper divisors (303052445727).

413135040105 is a wasteful number, since it uses less digits than its factorization.

413135040105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112185 (or 1112182 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 413135040105 its reverse (501040531314), we get a palindrome (914175571419).

The spelling of 413135040105 in words is "four hundred thirteen billion, one hundred thirty-five million, forty thousand, one hundred five".