8072182801 has 2 divisors, whose sum is σ = 8072182802. Its totient is φ = 8072182800.

The previous prime is 8072182757. The next prime is 8072182819. The reversal of 8072182801 is 1082812708.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5101387776 + 2970795025 = 71424^2 + 54505^2 .

It is a cyclic number.

It is not a de Polignac number, because 8072182801 - 2¹³ = 8072174609 is a prime.

It is not a weakly prime, because it can be changed into another prime (8072132801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4036091400 + 4036091401.

It is an arithmetic number, because the mean of its divisors is an integer number (4036091401).

Almost surely, 2^8072182801 is an apocalyptic number.

It is an amenable number.

8072182801 is a deficient number, since it is larger than the sum of its proper divisors (1).

8072182801 is an equidigital number, since it uses as much as digits as its factorization.

8072182801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14336, while the sum is 37.

The square root of 8072182801 is about 89845.3270960711. The cubic root of 8072182801 is about 2005.9972320455.

The spelling of 8072182801 in words is "eight billion, seventy-two million, one hundred eighty-two thousand, eight hundred one".