852388101 has 12 divisors (see below), whose sum is σ = 1235807820. Its totient is φ = 566144640.

The previous prime is 852388091. The next prime is 852388133. The reversal of 852388101 is 101883258.

It can be written as a sum of positive squares in 2 ways, for example, as 385179876 + 467208225 = 19626^2 + 21615^2 .

It is not a de Polignac number, because 852388101 - 2¹⁰ = 852387077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852388501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173620 + ... + 178461.

It is an arithmetic number, because the mean of its divisors is an integer number (102983985).

Almost surely, 2^852388101 is an apocalyptic number.

It is an amenable number.

852388101 is a deficient number, since it is larger than the sum of its proper divisors (383419719).

852388101 is a wasteful number, since it uses less digits than its factorization.

852388101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352356 (or 352353 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 852388101 is about 29195.6863423349. The cubic root of 852388101 is about 948.1545340399.

It can be divided in two parts, 85238 and 8101, that added together give a palindrome (93339).

The spelling of 852388101 in words is "eight hundred fifty-two million, three hundred eighty-eight thousand, one hundred one".