852680801 has 12 divisors (see below), whose sum is σ = 1010612052. Its totient is φ = 717077088.

The previous prime is 852680797. The next prime is 852680809. The reversal of 852680801 is 108086258.

It can be written as a sum of positive squares in 2 ways, for example, as 786746401 + 65934400 = 28049^2 + 8120^2 .

It is not a de Polignac number, because 852680801 - 2² = 852680797 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (852680809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161570 + ... + 166763.

It is an arithmetic number, because the mean of its divisors is an integer number (84217671).

Almost surely, 2^852680801 is an apocalyptic number.

It is an amenable number.

852680801 is a deficient number, since it is larger than the sum of its proper divisors (157931251).

852680801 is a wasteful number, since it uses less digits than its factorization.

852680801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328400 (or 328393 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The square root of 852680801 is about 29200.6986389025. The cubic root of 852680801 is about 948.2630499736.

The spelling of 852680801 in words is "eight hundred fifty-two million, six hundred eighty thousand, eight hundred one".