852056101 has 16 divisors (see below), whose sum is σ = 925131760. Its totient is φ = 780088320.

The previous prime is 852056063. The next prime is 852056123. The reversal of 852056101 is 101650258.

It is a Cunningham number, because it is equal to 29190²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1 + 852056100 = 1^2 + 29190^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-852056101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 852056101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852056131) 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 15 ways as a sum of consecutive naturals, for example, 1288711 + ... + 1289371.

It is an arithmetic number, because the mean of its divisors is an integer number (57820735).

Almost surely, 2^852056101 is an apocalyptic number.

It is an amenable number.

852056101 is a deficient number, since it is larger than the sum of its proper divisors (73075659).

852056101 is a wasteful number, since it uses less digits than its factorization.

852056101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336.

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 852056101 is about 29190.0000171292. Note that the first 4 decimals coincide. The cubic root of 852056101 is about 948.0314179057.

The spelling of 852056101 in words is "eight hundred fifty-two million, fifty-six thousand, one hundred one".