1005383072505 has 16 divisors (see below), whose sum is σ = 1838414761344. Its totient is φ = 459603690240.

The previous prime is 1005383072489. The next prime is 1005383072509. The reversal of 1005383072505 is 5052703835001.

It is not a de Polignac number, because 1005383072505 - 2⁴ = 1005383072489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005383072509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4787538336 + ... + 4787538545.

It is an arithmetic number, because the mean of its divisors is an integer number (114900922584).

Almost surely, 2^{1005383072505} is an apocalyptic number.

1005383072505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005383072505 is a deficient number, since it is larger than the sum of its proper divisors (833031688839).

1005383072505 is an equidigital number, since it uses as much as digits as its factorization.

1005383072505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9575076896.

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 1005383072505 in words is "one trillion, five billion, three hundred eighty-three million, seventy-two thousand, five hundred five".