1006852311 has 12 divisors (see below), whose sum is σ = 1455068160. Its totient is φ = 670899840.

The previous prime is 1006852307. The next prime is 1006852321. The reversal of 1006852311 is 1132586001.

1006852311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1006852311 - 2² = 1006852307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006852321) 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, 8151 + ... + 45608.

It is an arithmetic number, because the mean of its divisors is an integer number (121255680).

Almost surely, 2^1006852311 is an apocalyptic number.

1006852311 is a deficient number, since it is larger than the sum of its proper divisors (448215849).

1006852311 is a wasteful number, since it uses less digits than its factorization.

1006852311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55846 (or 55843 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1006852311 is about 31730.9361822181. The cubic root of 1006852311 is about 1002.2789063076.

The spelling of 1006852311 in words is "one billion, six million, eight hundred fifty-two thousand, three hundred eleven".