1005302211199 has 32 divisors (see below), whose sum is σ = 1184443223040. Its totient is φ = 841191868800.

The previous prime is 1005302211157. The next prime is 1005302211217. The reversal of 1005302211199 is 9911122035001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1005302211199 - 2²⁵ = 1005268656767 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005302211119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157592392 + ... + 157598770.

It is an arithmetic number, because the mean of its divisors is an integer number (37013850720).

Almost surely, 2^{1005302211199} is an apocalyptic number.

1005302211199 is a deficient number, since it is larger than the sum of its proper divisors (179141011841).

1005302211199 is a wasteful number, since it uses less digits than its factorization.

1005302211199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9391.

The product of its (nonzero) digits is 4860, while the sum is 34.

The spelling of 1005302211199 in words is "one trillion, five billion, three hundred two million, two hundred eleven thousand, one hundred ninety-nine".