852106500 has 384 divisors, whose sum is σ = 3220439040. Its totient is φ = 190512000.

The previous prime is 852106477. The next prime is 852106511. The reversal of 852106500 is 5601258.

852106500 is a `hidden beast` number, since 8 + 5 + 2 + 1 + 0 + 650 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6709437 + ... + 6709563.

It is an arithmetic number, because the mean of its divisors is an integer number (8386560).

Almost surely, 2^852106500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852106500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610219520).

852106500 is an abundant number, since it is smaller than the sum of its proper divisors (2368332540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

852106500 is a wasteful number, since it uses less digits than its factorization.

852106500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 852106500 is about 29190.8632965865. The cubic root of 852106500 is about 948.0501095128.

Adding to 852106500 its reverse (5601258), we get a palindrome (857707758).

The spelling of 852106500 in words is "eight hundred fifty-two million, one hundred six thousand, five hundred".