1605413104101 has 6 divisors (see below), whose sum is σ = 2318930039270. Its totient is φ = 1070275402728.

The previous prime is 1605413104079. The next prime is 1605413104121. The reversal of 1605413104101 is 1014013145061.

1605413104101 is a `hidden beast` number, since 1 + 6 + 0 + 541 + 3 + 10 + 4 + 101 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1280803739076 + 324609365025 = 1131726^2 + 569745^2 .

It is not a de Polignac number, because 1605413104101 - 2⁵ = 1605413104069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1605413104121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89189616886 + ... + 89189616903.

Almost surely, 2^{1605413104101} is an apocalyptic number.

It is an amenable number.

1605413104101 is a deficient number, since it is larger than the sum of its proper divisors (713516935169).

1605413104101 is a wasteful number, since it uses less digits than its factorization.

1605413104101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178379233795 (or 178379233792 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 1605413104101 its reverse (1014013145061), we get a palindrome (2619426249162).

The spelling of 1605413104101 in words is "one trillion, six hundred five billion, four hundred thirteen million, one hundred four thousand, one hundred one".