1006665145311 has 144 divisors (see below), whose sum is σ = 1778917541760. Its totient is φ = 503206179840.

The previous prime is 1006665145301. The next prime is 1006665145357. The reversal of 1006665145311 is 1135415666001.

It is not a de Polignac number, because 1006665145311 - 2¹³ = 1006665137119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1006665145311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006665145301) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42768616 + ... + 42792146.

It is an arithmetic number, because the mean of its divisors is an integer number (12353594040).

Almost surely, 2^{1006665145311} is an apocalyptic number.

1006665145311 is a deficient number, since it is larger than the sum of its proper divisors (772252396449).

1006665145311 is a wasteful number, since it uses less digits than its factorization.

1006665145311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23654 (or 23630 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 1006665145311 in words is "one trillion, six billion, six hundred sixty-five million, one hundred forty-five thousand, three hundred eleven".