211205257 has 2 divisors, whose sum is σ = 211205258. Its totient is φ = 211205256.

The previous prime is 211205233. The next prime is 211205261. The reversal of 211205257 is 752502112.

211205257 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., 135932281 + 75272976 = 11659^2 + 8676^2 .

It is a cyclic number.

It is not a de Polignac number, because 211205257 - 2⁷ = 211205129 is a prime.

It is not a weakly prime, because it can be changed into another prime (211205557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105602628 + 105602629.

It is an arithmetic number, because the mean of its divisors is an integer number (105602629).

Almost surely, 2^211205257 is an apocalyptic number.

It is an amenable number.

211205257 is a deficient number, since it is larger than the sum of its proper divisors (1).

211205257 is an equidigital number, since it uses as much as digits as its factorization.

211205257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 211205257 is about 14532.9025662460. The cubic root of 211205257 is about 595.5271622080.

Adding to 211205257 its reverse (752502112), we get a palindrome (963707369).

The spelling of 211205257 in words is "two hundred eleven million, two hundred five thousand, two hundred fifty-seven".