211141200461 has 2 divisors, whose sum is σ = 211141200462. Its totient is φ = 211141200460.

The previous prime is 211141200407. The next prime is 211141200493. The reversal of 211141200461 is 164002141112.

211141200461 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., 197091602500 + 14049597961 = 443950^2 + 118531^2 .

It is a cyclic number.

It is not a de Polignac number, because 211141200461 - 2²⁶ = 211074091597 is a prime.

It is a super-2 number, since 2×211141200461² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211141200161) 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, 105570600230 + 105570600231.

It is an arithmetic number, because the mean of its divisors is an integer number (105570600231).

Almost surely, 2^211141200461 is an apocalyptic number.

It is an amenable number.

211141200461 is a deficient number, since it is larger than the sum of its proper divisors (1).

211141200461 is an equidigital number, since it uses as much as digits as its factorization.

211141200461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 211141200461 its reverse (164002141112), we get a palindrome (375143341573).

The spelling of 211141200461 in words is "two hundred eleven billion, one hundred forty-one million, two hundred thousand, four hundred sixty-one".