820356004083 has 48 divisors (see below), whose sum is σ = 1395328481280. Its totient is φ = 423927604800.

The previous prime is 820356004079. The next prime is 820356004099. The reversal of 820356004083 is 380400653028.

820356004083 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 820356004083 - 2² = 820356004079 is a prime.

It is a super-2 number, since 2×820356004083² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (820356004003) 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, 1019248 + ... + 1636941.

It is an arithmetic number, because the mean of its divisors is an integer number (29069343360).

Almost surely, 2^820356004083 is an apocalyptic number.

820356004083 is a deficient number, since it is larger than the sum of its proper divisors (574972477197).

820356004083 is a wasteful number, since it uses less digits than its factorization.

820356004083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656408 (or 2656401 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 820356004083 in words is "eight hundred twenty billion, three hundred fifty-six million, four thousand, eighty-three".