1005340011500 has 96 divisors (see below), whose sum is σ = 2418985138752. Its totient is φ = 361958400000.

The previous prime is 1005340011407. The next prime is 1005340011569. The reversal of 1005340011500 is 51100435001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 349397 + ... + 1460396.

It is an arithmetic number, because the mean of its divisors is an integer number (25197761862).

Almost surely, 2^{1005340011500} is an apocalyptic number.

1005340011500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005340011500 is an abundant number, since it is smaller than the sum of its proper divisors (1413645127252).

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

1005340011500 is a wasteful number, since it uses less digits than its factorization.

1005340011500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809924 (or 1809912 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 1005340011500 its reverse (51100435001), we get a palindrome (1056440446501).

The spelling of 1005340011500 in words is "one trillion, five billion, three hundred forty million, eleven thousand, five hundred".