820603956516 has 48 divisors (see below), whose sum is σ = 1998167829504. Its totient is φ = 261618847776.

The previous prime is 820603956479. The next prime is 820603956517. The reversal of 820603956516 is 615659306028.

It is not an unprimeable number, because it can be changed into a prime (820603956517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3166065 + ... + 3415431.

It is an arithmetic number, because the mean of its divisors is an integer number (41628496448).

Almost surely, 2^820603956516 is an apocalyptic number.

It is an amenable number.

820603956516 is an abundant number, since it is smaller than the sum of its proper divisors (1177563872988).

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

820603956516 is a wasteful number, since it uses less digits than its factorization.

820603956516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261320 (or 261318 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 820603956516 in words is "eight hundred twenty billion, six hundred three million, nine hundred fifty-six thousand, five hundred sixteen".