820352853 has 10 divisors (see below), whose sum is σ = 1225465494. Its totient is φ = 546901848.

The previous prime is 820352837. The next prime is 820352861. The reversal of 820352853 is 358253028.

820352853 is a `hidden beast` number, since 82 + 0 + 3 + 528 + 53 = 666.

It can be written as a sum of positive squares in only one way, i.e., 732405969 + 87946884 = 27063^2 + 9378^2 .

It is not a de Polignac number, because 820352853 - 2⁴ = 820352837 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820352893) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5063826 + ... + 5063987.

Almost surely, 2^820352853 is an apocalyptic number.

It is an amenable number.

820352853 is a deficient number, since it is larger than the sum of its proper divisors (405112641).

820352853 is a wasteful number, since it uses less digits than its factorization.

820352853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10127825 (or 10127816 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 820352853 is about 28641.8025445327. The cubic root of 820352853 is about 936.1243979140.

The spelling of 820352853 in words is "eight hundred twenty million, three hundred fifty-two thousand, eight hundred fifty-three".