820057505003 has 8 divisors (see below), whose sum is σ = 894712350960. Its totient is φ = 745420019680.

The previous prime is 820057504997. The next prime is 820057505009. The reversal of 820057505003 is 300505750028.

It is an interprime number because it is at equal distance from previous prime (820057504997) and next prime (820057505009).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820057505003 - 2²⁴ = 820040727787 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820057505009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4241288 + ... + 4430421.

It is an arithmetic number, because the mean of its divisors is an integer number (111839043870).

Almost surely, 2^820057505003 is an apocalyptic number.

820057505003 is a deficient number, since it is larger than the sum of its proper divisors (74654845957).

820057505003 is a wasteful number, since it uses less digits than its factorization.

820057505003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8680317.

The product of its (nonzero) digits is 42000, while the sum is 35.

The spelling of 820057505003 in words is "eight hundred twenty billion, fifty-seven million, five hundred five thousand, three".