852005200 has 30 divisors (see below), whose sum is σ = 2046943454. Its totient is φ = 340801920.

The previous prime is 852005171. The next prime is 852005251. The reversal of 852005200 is 2500258.

It can be written as a sum of positive squares in 3 ways, for example, as 108243216 + 743761984 = 10404^2 + 27272^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1064607 + ... + 1065406.

Almost surely, 2^852005200 is an apocalyptic number.

852005200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

852005200 is an abundant number, since it is smaller than the sum of its proper divisors (1194938254).

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

852005200 is a wasteful number, since it uses less digits than its factorization.

852005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130031 (or 2130020 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 852005200 is about 29189.1281130492. The cubic root of 852005200 is about 948.0125393726.

Adding to 852005200 its reverse (2500258), we get a palindrome (854505458).

The spelling of 852005200 in words is "eight hundred fifty-two million, five thousand, two hundred".