2005114225365 has 48 divisors (see below), whose sum is σ = 3561041772288. Its totient is φ = 1043231591808.

The previous prime is 2005114225363. The next prime is 2005114225417. The reversal of 2005114225365 is 5635224115002.

2005114225365 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 114 + 2 + 2 + 536 + 5 = 666.

It is not a de Polignac number, because 2005114225365 - 2¹ = 2005114225363 is a prime.

It is a super-2 number, since 2×2005114225365² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005114225363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 894742 + ... + 2193351.

It is an arithmetic number, because the mean of its divisors is an integer number (74188370256).

Almost surely, 2^{2005114225365} is an apocalyptic number.

It is an amenable number.

2005114225365 is a deficient number, since it is larger than the sum of its proper divisors (1555927546923).

2005114225365 is a wasteful number, since it uses less digits than its factorization.

2005114225365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088458 (or 3088455 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 2005114225365 in words is "two trillion, five billion, one hundred fourteen million, two hundred twenty-five thousand, three hundred sixty-five".