820035508773 has 48 divisors (see below), whose sum is σ = 1255081988160. Its totient is φ = 474391636992.

The previous prime is 820035508759. The next prime is 820035508793. The reversal of 820035508773 is 377805530028.

It is not a de Polignac number, because 820035508773 - 2²⁰ = 820034460197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820035508793) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7296238 + ... + 7407776.

It is an arithmetic number, because the mean of its divisors is an integer number (26147541420).

Almost surely, 2^820035508773 is an apocalyptic number.

It is an amenable number.

820035508773 is a deficient number, since it is larger than the sum of its proper divisors (435046479387).

820035508773 is a wasteful number, since it uses less digits than its factorization.

820035508773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112438 (or 112425 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 820035508773 in words is "eight hundred twenty billion, thirty-five million, five hundred eight thousand, seven hundred seventy-three".