2005200434601 has 375 divisors, whose sum is σ = 3995377325841. Its totient is φ = 1002020344416.

The previous prime is 2005200434599. The next prime is 2005200434641. The reversal of 2005200434601 is 1064340025002.

The square root of 2005200434601 is 1416051.

It is a perfect power (a square), and thus also a powerful number.

2005200434601 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 20 + 0 + 4 + 34 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 994210404201 + 1010990030400 = 997101^2 + 1005480^2 .

It is not a de Polignac number, because 2005200434601 - 2¹ = 2005200434599 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2005200434641) 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 374 ways as a sum of consecutive naturals, for example, 105536864970 + ... + 105536864988.

Almost surely, 2^{2005200434601} is an apocalyptic number.

2005200434601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2005200434601 is the 1416051-st square number.

2005200434601 is the 708026-th centered octagonal number.

It is an amenable number.

2005200434601 is a deficient number, since it is larger than the sum of its proper divisors (1990176891240).

2005200434601 is an frugal number, since it uses more digits than its factorization.

2005200434601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 2005200434601 its reverse (1064340025002), we get a palindrome (3069540459603).

The spelling of 2005200434601 in words is "two trillion, five billion, two hundred million, four hundred thirty-four thousand, six hundred one".