820506500 has 48 divisors (see below), whose sum is σ = 1954907136. Its totient is φ = 298364000.

The previous prime is 820506461. The next prime is 820506503. The reversal of 820506500 is 5605028.

It is a self number, because there is not a number n which added to its sum of digits gives 820506500.

It is not an unprimeable number, because it can be changed into a prime (820506503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69092 + ... + 80091.

It is an arithmetic number, because the mean of its divisors is an integer number (40727232).

Almost surely, 2^820506500 is an apocalyptic number.

It is an amenable number.

820506500 is an abundant number, since it is smaller than the sum of its proper divisors (1134400636).

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

820506500 is a wasteful number, since it uses less digits than its factorization.

820506500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149213 (or 149201 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 820506500 is about 28644.4846349171. The cubic root of 820506500 is about 936.1828376964.

The spelling of 820506500 in words is "eight hundred twenty million, five hundred six thousand, five hundred".