820553356 has 24 divisors (see below), whose sum is σ = 1668925440. Its totient is φ = 345704592.

The previous prime is 820553333. The next prime is 820553369. The reversal of 820553356 is 653355028.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 246700 + ... + 250003.

It is an arithmetic number, because the mean of its divisors is an integer number (69538560).

Almost surely, 2^820553356 is an apocalyptic number.

It is an amenable number.

820553356 is an abundant number, since it is smaller than the sum of its proper divisors (848372084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

820553356 is a wasteful number, since it uses less digits than its factorization.

820553356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496773 (or 496771 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The square root of 820553356 is about 28645.3025119303. The cubic root of 820553356 is about 936.2006579689.

The spelling of 820553356 in words is "eight hundred twenty million, five hundred fifty-three thousand, three hundred fifty-six".