1005840503056 has 45 divisors (see below), whose sum is σ = 1962536767119. Its totient is φ = 499404028032.

The previous prime is 1005840503053. The next prime is 1005840503111. The reversal of 1005840503056 is 6503050485001.

The square root of 1005840503056 is 1002916.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 261002461456 + 744838041600 = 510884^2 + 863040^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005840503053) 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 8 ways as a sum of consecutive naturals, for example, 629830450 + ... + 629832046.

Almost surely, 2^{1005840503056} is an apocalyptic number.

1005840503056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1005840503056 is the 1002916-th square number.

It is an amenable number.

1005840503056 is a deficient number, since it is larger than the sum of its proper divisors (956696264063).

1005840503056 is an frugal number, since it uses more digits than its factorization.

1005840503056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

Adding to 1005840503056 its reverse (6503050485001), we get a palindrome (7508890988057).

The spelling of 1005840503056 in words is "one trillion, five billion, eight hundred forty million, five hundred three thousand, fifty-six".