82305738207001 has 9 divisors (see below), whose sum is σ = 82416377516511. Its totient is φ = 82195247262072.

The previous prime is 82305738206947. The next prime is 82305738207013. The reversal of 82305738207001 is 10070283750328.

The square root of 82305738207001 is 9072251.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 39911627529225 + 42394110677776 = 6317565^2 + 6511076^2 .

It is not a de Polignac number, because 82305738207001 - 2¹⁷ = 82305738075929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82305738207401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7230578356 + ... + 7230589738.

Almost surely, 2^{82305738207001} is an apocalyptic number.

82305738207001 is the 9072251-st square number.

82305738207001 is the 4536126-th centered octagonal number.

It is an amenable number.

82305738207001 is a deficient number, since it is larger than the sum of its proper divisors (110639309510).

82305738207001 is an frugal number, since it uses more digits than its factorization.

82305738207001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24360 (or 12180 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 82305738207001 in words is "eighty-two trillion, three hundred five billion, seven hundred thirty-eight million, two hundred seven thousand, one".