272167054052801 has 2 divisors, whose sum is σ = 272167054052802. Its totient is φ = 272167054052800.

The previous prime is 272167054052737. The next prime is 272167054052833. The reversal of 272167054052801 is 108250450761272.

272167054052801 is digitally balanced in base 2, 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., 154913868673600 + 117253185379201 = 12446440^2 + 10828351^2 .

It is a cyclic number.

It is not a de Polignac number, because 272167054052801 - 2⁶ = 272167054052737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 272167054052801.

It is not a weakly prime, because it can be changed into another prime (272167054052501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 136083527026400 + 136083527026401.

It is an arithmetic number, because the mean of its divisors is an integer number (136083527026401).

Almost surely, 2^{272167054052801} is an apocalyptic number.

It is an amenable number.

272167054052801 is a deficient number, since it is larger than the sum of its proper divisors (1).

272167054052801 is an equidigital number, since it uses as much as digits as its factorization.

272167054052801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1881600, while the sum is 50.

The spelling of 272167054052801 in words is "two hundred seventy-two trillion, one hundred sixty-seven billion, fifty-four million, fifty-two thousand, eight hundred one".