1005140505220 has 24 divisors (see below), whose sum is σ = 2112501495384. Its totient is φ = 401731166976.

The previous prime is 1005140505181. The next prime is 1005140505223. The reversal of 1005140505220 is 225050415001.

It can be written as a sum of positive squares in 4 ways, for example, as 522173883456 + 482966621764 = 722616^2 + 694958^2 .

It is not an unprimeable number, because it can be changed into a prime (1005140505223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20289337 + ... + 20338816.

It is an arithmetic number, because the mean of its divisors is an integer number (88020895641).

Almost surely, 2^{1005140505220} is an apocalyptic number.

1005140505220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005140505220 is an abundant number, since it is smaller than the sum of its proper divisors (1107360990164).

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

1005140505220 is a wasteful number, since it uses less digits than its factorization.

1005140505220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40629399 (or 40629397 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 1005140505220 in words is "one trillion, five billion, one hundred forty million, five hundred five thousand, two hundred twenty".