1005235335505 has 8 divisors (see below), whose sum is σ = 1208250240552. Its totient is φ = 802876376448.

The previous prime is 1005235335493. The next prime is 1005235335509. The reversal of 1005235335505 is 5055335325001.

It can be written as a sum of positive squares in 4 ways, for example, as 123302108736 + 881933226769 = 351144^2 + 939113^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005235335505 - 2²⁹ = 1004698464593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005235335509) 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 7 ways as a sum of consecutive naturals, for example, 163983124 + ... + 163989253.

It is an arithmetic number, because the mean of its divisors is an integer number (151031280069).

Almost surely, 2^{1005235335505} is an apocalyptic number.

It is an amenable number.

1005235335505 is a deficient number, since it is larger than the sum of its proper divisors (203014905047).

1005235335505 is an equidigital number, since it uses as much as digits as its factorization.

1005235335505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327972995.

The product of its (nonzero) digits is 168750, while the sum is 37.

The spelling of 1005235335505 in words is "one trillion, five billion, two hundred thirty-five million, three hundred thirty-five thousand, five hundred five".