1005211065303 has 12 divisors (see below), whose sum is σ = 1475774351688. Its totient is φ = 659154796560.

The previous prime is 1005211065301. The next prime is 1005211065319. The reversal of 1005211065303 is 3035601125001.

1005211065303 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 2 + 1 + 1 + 0 + 653 + 0 + 3 = 666.

It is not a de Polignac number, because 1005211065303 - 2¹ = 1005211065301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005211065301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 915492225 + ... + 915493322.

It is an arithmetic number, because the mean of its divisors is an integer number (122981195974).

Almost surely, 2^{1005211065303} is an apocalyptic number.

1005211065303 is a deficient number, since it is larger than the sum of its proper divisors (470563286385).

1005211065303 is a wasteful number, since it uses less digits than its factorization.

1005211065303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830985614 (or 1830985611 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 1005211065303 in words is "one trillion, five billion, two hundred eleven million, sixty-five thousand, three hundred three".