820153359 has 24 divisors (see below), whose sum is σ = 1218381840. Its totient is φ = 531249408.

The previous prime is 820153349. The next prime is 820153417. The reversal of 820153359 is 953351028.

It is not a de Polignac number, because 820153359 - 2¹² = 820149263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820153309) 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 23 ways as a sum of consecutive naturals, for example, 338119 + ... + 340535.

It is an arithmetic number, because the mean of its divisors is an integer number (50765910).

Almost surely, 2^820153359 is an apocalyptic number.

820153359 is a deficient number, since it is larger than the sum of its proper divisors (398228481).

820153359 is a wasteful number, since it uses less digits than its factorization.

820153359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 820153359 is about 28638.3197656566. The cubic root of 820153359 is about 936.0485092928.

The spelling of 820153359 in words is "eight hundred twenty million, one hundred fifty-three thousand, three hundred fifty-nine".