852065313 has 32 divisors (see below), whose sum is σ = 1323983232. Its totient is φ = 481689600.

The previous prime is 852065311. The next prime is 852065371. The reversal of 852065313 is 313560258.

It is not a de Polignac number, because 852065313 - 2¹ = 852065311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (852065311) 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, 56673 + ... + 70113.

It is an arithmetic number, because the mean of its divisors is an integer number (41374476).

Almost surely, 2^852065313 is an apocalyptic number.

It is an amenable number.

852065313 is a deficient number, since it is larger than the sum of its proper divisors (471917919).

852065313 is a wasteful number, since it uses less digits than its factorization.

852065313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13585.

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 852065313 is about 29190.1578104676. The cubic root of 852065313 is about 948.0348344390.

The spelling of 852065313 in words is "eight hundred fifty-two million, sixty-five thousand, three hundred thirteen".