211815055584131 has 2 divisors, whose sum is σ = 211815055584132. Its totient is φ = 211815055584130.

The previous prime is 211815055584109. The next prime is 211815055584163. The reversal of 211815055584131 is 131485550518112.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 211815055584131 - 2¹⁰ = 211815055583107 is a prime.

It is a super-2 number, since 2×211815055584131² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211815055584131.

It is not a weakly prime, because it can be changed into another prime (211815055584031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105907527792065 + 105907527792066.

It is an arithmetic number, because the mean of its divisors is an integer number (105907527792066).

Almost surely, 2^{211815055584131} is an apocalyptic number.

211815055584131 is a deficient number, since it is larger than the sum of its proper divisors (1).

211815055584131 is an equidigital number, since it uses as much as digits as its factorization.

211815055584131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960000, while the sum is 50.

The spelling of 211815055584131 in words is "two hundred eleven trillion, eight hundred fifteen billion, fifty-five million, five hundred eighty-four thousand, one hundred thirty-one".