82805302801 has 8 divisors (see below), whose sum is σ = 92249939880. Its totient is φ = 73799951232.

The previous prime is 82805302787. The next prime is 82805302813. The reversal of 82805302801 is 10820350828.

It can be written as a sum of positive squares in 4 ways, for example, as 3436890625 + 79368412176 = 58625^2 + 281724^2 .

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 82805302801 - 2¹³ = 82805294609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82805302871) 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, 109820980 + ... + 109821733.

It is an arithmetic number, because the mean of its divisors is an integer number (11531242485).

Almost surely, 2^82805302801 is an apocalyptic number.

It is an amenable number.

82805302801 is a deficient number, since it is larger than the sum of its proper divisors (9444637079).

82805302801 is a wasteful number, since it uses less digits than its factorization.

82805302801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219642755.

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 82805302801 in words is "eighty-two billion, eight hundred five million, three hundred two thousand, eight hundred one".