212542567406401 has 2 divisors, whose sum is σ = 212542567406402. Its totient is φ = 212542567406400.

The previous prime is 212542567406353. The next prime is 212542567406461. The reversal of 212542567406401 is 104604765245212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 159544181966400 + 52998385440001 = 12631080^2 + 7279999^2 .

It is a cyclic number.

It is not a de Polignac number, because 212542567406401 - 2¹³ = 212542567398209 is a prime.

It is not a weakly prime, because it can be changed into another prime (212542567406461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106271283703200 + 106271283703201.

It is an arithmetic number, because the mean of its divisors is an integer number (106271283703201).

Almost surely, 2^{212542567406401} is an apocalyptic number.

It is an amenable number.

212542567406401 is a deficient number, since it is larger than the sum of its proper divisors (1).

212542567406401 is an equidigital number, since it uses as much as digits as its factorization.

212542567406401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3225600, while the sum is 49.

The spelling of 212542567406401 in words is "two hundred twelve trillion, five hundred forty-two billion, five hundred sixty-seven million, four hundred six thousand, four hundred one".