820825030003 has 16 divisors (see below), whose sum is σ = 918395210880. Its totient is φ = 727123835200.

The previous prime is 820825029961. The next prime is 820825030007. The reversal of 820825030003 is 300030528028.

It is a cyclic number.

It is not a de Polignac number, because 820825030003 - 2²¹ = 820822932851 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820825030007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 727393 + ... + 1473346.

It is an arithmetic number, because the mean of its divisors is an integer number (57399700680).

Almost surely, 2^820825030003 is an apocalyptic number.

820825030003 is a deficient number, since it is larger than the sum of its proper divisors (97570180877).

820825030003 is a wasteful number, since it uses less digits than its factorization.

820825030003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201618.

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 820825030003 in words is "eight hundred twenty billion, eight hundred twenty-five million, thirty thousand, three".