1005500501012 has 18 divisors (see below), whose sum is σ = 2046911734602. Its totient is φ = 430928786064.

The previous prime is 1005500501011. The next prime is 1005500501021. The reversal of 1005500501012 is 2101050055001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 530167471876 + 475333029136 = 728126^2 + 689444^2 .

It is a super-2 number, since 2×1005500501012² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005500501011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2565052103 + ... + 2565052494.

It is an arithmetic number, because the mean of its divisors is an integer number (113717318589).

Almost surely, 2^{1005500501012} is an apocalyptic number.

It is an amenable number.

1005500501012 is an abundant number, since it is smaller than the sum of its proper divisors (1041411233590).

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

1005500501012 is a wasteful number, since it uses less digits than its factorization.

1005500501012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130104615 (or 5130104606 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 20.

Adding to 1005500501012 its reverse (2101050055001), we get a palindrome (3106550556013).

The spelling of 1005500501012 in words is "one trillion, five billion, five hundred million, five hundred one thousand, twelve".