211405266452097 has 84 divisors (see below), whose sum is σ = 334586533586580. Its totient is φ = 133493827329216.

The previous prime is 211405266451987. The next prime is 211405266452101. The reversal of 211405266452097 is 790254662504112.

211405266452097 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 0 + 5 + 26 + 6 + 4 + 520 + 97 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 187090939378161 + 24314327073936 = 13678119^2 + 4930956^2 .

It is not a de Polignac number, because 211405266452097 - 2¹⁵ = 211405266419329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211405266452297) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1441303279 + ... + 1441449947.

Almost surely, 2^{211405266452097} is an apocalyptic number.

211405266452097 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

211405266452097 is a deficient number, since it is larger than the sum of its proper divisors (123181267134483).

211405266452097 is an equidigital number, since it uses as much as digits as its factorization.

211405266452097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152202 (or 152168 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 211405266452097 in words is "two hundred eleven trillion, four hundred five billion, two hundred sixty-six million, four hundred fifty-two thousand, ninety-seven".