852827313 has 16 divisors (see below), whose sum is σ = 1232690816. Its totient is φ = 521337600.

The previous prime is 852827309. The next prime is 852827341. The reversal of 852827313 is 313728258.

852827313 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 852827313 - 2² = 852827309 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (852827303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66520 + ... + 78297.

It is an arithmetic number, because the mean of its divisors is an integer number (77043176).

Almost surely, 2^852827313 is an apocalyptic number.

It is an amenable number.

852827313 is a deficient number, since it is larger than the sum of its proper divisors (379863503).

852827313 is a wasteful number, since it uses less digits than its factorization.

852827313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144984.

The product of its digits is 80640, while the sum is 39.

The square root of 852827313 is about 29203.2072382470. The cubic root of 852827313 is about 948.3173586744.

The spelling of 852827313 in words is "eight hundred fifty-two million, eight hundred twenty-seven thousand, three hundred thirteen".