852800013 has 48 divisors (see below), whose sum is σ = 1409619120. Its totient is φ = 492936192.

The previous prime is 852799991. The next prime is 852800063. The reversal of 852800013 is 310008258.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28708164 + 824091849 = 5358^2 + 28707^2 .

It is not a de Polignac number, because 852800013 - 2⁹ = 852799501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 852800013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852800063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122145 + ... + 128937.

It is an arithmetic number, because the mean of its divisors is an integer number (29367065).

Almost surely, 2^852800013 is an apocalyptic number.

It is an amenable number.

852800013 is a deficient number, since it is larger than the sum of its proper divisors (556819107).

852800013 is a wasteful number, since it uses less digits than its factorization.

852800013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6878 (or 6875 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 852800013 is about 29202.7398200922. The cubic root of 852800013 is about 948.3072396504.

The spelling of 852800013 in words is "eight hundred fifty-two million, eight hundred thousand, thirteen".