852871045 has 64 divisors (see below), whose sum is σ = 1206152640. Its totient is φ = 573308928.

The previous prime is 852871043. The next prime is 852871049. The reversal of 852871045 is 540178258.

It can be written as a sum of positive squares in 32 ways, for example, as 434013889 + 418857156 = 20833^2 + 20466^2 .

It is a 9-Lehmer number, since φ(852871045) divides (852871045-1)⁹.

It is a cyclic number.

It is not a de Polignac number, because 852871045 - 2¹ = 852871043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 852870989 and 852871007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852871043) by changing a digit.

It is a nontrivial repunit in base 948.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7824451 + ... + 7824559.

It is an arithmetic number, because the mean of its divisors is an integer number (18846135).

Almost surely, 2^852871045 is an apocalyptic number.

852871045 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

852871045 is a deficient number, since it is larger than the sum of its proper divisors (353281595).

852871045 is a wasteful number, since it uses less digits than its factorization.

852871045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314.

The product of its (nonzero) digits is 89600, while the sum is 40.

The square root of 852871045 is about 29203.9559820241. The cubic root of 852871045 is about 948.3335679371. Note that the first 3 decimals are identical.

The spelling of 852871045 in words is "eight hundred fifty-two million, eight hundred seventy-one thousand, forty-five".