820125852 has 96 divisors (see below), whose sum is σ = 2361257472. Its totient is φ = 215744256.

The previous prime is 820125841. The next prime is 820125853. The reversal of 820125852 is 258521028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820125853) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 596638 + ... + 598010.

It is an arithmetic number, because the mean of its divisors is an integer number (24596432).

Almost surely, 2^820125852 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 820125852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180628736).

820125852 is an abundant number, since it is smaller than the sum of its proper divisors (1541131620).

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

820125852 is a wasteful number, since it uses less digits than its factorization.

820125852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 820125852 is about 28637.8395134829. The cubic root of 820125852 is about 936.0380445125.

The spelling of 820125852 in words is "eight hundred twenty million, one hundred twenty-five thousand, eight hundred fifty-two".