8272511801 has 2 divisors, whose sum is σ = 8272511802. Its totient is φ = 8272511800.

The previous prime is 8272511777. The next prime is 8272511803. The reversal of 8272511801 is 1081152728.

8272511801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8086325776 + 186186025 = 89924^2 + 13645^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8272511801 is a prime.

Together with 8272511803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (8272511803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4136255900 + 4136255901.

It is an arithmetic number, because the mean of its divisors is an integer number (4136255901).

Almost surely, 2^8272511801 is an apocalyptic number.

It is an amenable number.

8272511801 is a deficient number, since it is larger than the sum of its proper divisors (1).

8272511801 is an equidigital number, since it uses as much as digits as its factorization.

8272511801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8960, while the sum is 35.

The square root of 8272511801 is about 90953.3495864776. The cubic root of 8272511801 is about 2022.4562318847.

The spelling of 8272511801 in words is "eight billion, two hundred seventy-two million, five hundred eleven thousand, eight hundred one".