1005000610112 has 28 divisors (see below), whose sum is σ = 1994530831860. Its totient is φ = 502441660416.

The previous prime is 1005000610093. The next prime is 1005000610129. The reversal of 1005000610112 is 2110160005001.

1005000610112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 671914647616 + 333085962496 = 819704^2 + 577136^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 361043 + ... + 1462994.

It is an arithmetic number, because the mean of its divisors is an integer number (71233243995).

Almost surely, 2^{1005000610112} is an apocalyptic number.

It is an amenable number.

1005000610112 is a deficient number, since it is larger than the sum of its proper divisors (989530221748).

1005000610112 is an equidigital number, since it uses as much as digits as its factorization.

1005000610112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832658 (or 1832648 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

Adding to 1005000610112 its reverse (2110160005001), we get a palindrome (3115160615113).

The spelling of 1005000610112 in words is "one trillion, five billion, six hundred ten thousand, one hundred twelve".