820003538151 has 48 divisors (see below), whose sum is σ = 1404047893248. Its totient is φ = 468488059200.

The previous prime is 820003538143. The next prime is 820003538161. The reversal of 820003538151 is 151835300028.

820003538151 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 820003538151 - 2³ = 820003538143 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820003538141) 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, 9962596 + ... + 10044566.

It is an arithmetic number, because the mean of its divisors is an integer number (29250997776).

Almost surely, 2^820003538151 is an apocalyptic number.

820003538151 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

820003538151 is a deficient number, since it is larger than the sum of its proper divisors (584044355097).

820003538151 is an equidigital number, since it uses as much as digits as its factorization.

820003538151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87874 (or 87862 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 820003538151 its reverse (151835300028), we get a palindrome (971838838179).

The spelling of 820003538151 in words is "eight hundred twenty billion, three million, five hundred thirty-eight thousand, one hundred fifty-one".