2005211334152 has 32 divisors (see below), whose sum is σ = 4050036099480. Its totient is φ = 925241771520.

The previous prime is 2005211334059. The next prime is 2005211334157. The reversal of 2005211334152 is 2514331125002.

It can be written as a sum of positive squares in 4 ways, for example, as 2005186274116 + 25060036 = 1416046^2 + 5006^2 .

It is a super-2 number, since 2×2005211334152² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2005211334157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2101349 + ... + 2902772.

Almost surely, 2^{2005211334152} is an apocalyptic number.

It is an amenable number.

2005211334152 is an abundant number, since it is smaller than the sum of its proper divisors (2044824765328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2005211334152 is a wasteful number, since it uses less digits than its factorization.

2005211334152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007993 (or 5007989 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 2005211334152 its reverse (2514331125002), we get a palindrome (4519542459154).

The spelling of 2005211334152 in words is "two trillion, five billion, two hundred eleven million, three hundred thirty-four thousand, one hundred fifty-two".