211465253201 has 2 divisors, whose sum is σ = 211465253202. Its totient is φ = 211465253200.

The previous prime is 211465253183. The next prime is 211465253239. The reversal of 211465253201 is 102352564112.

211465253201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 193909003201 + 17556250000 = 440351^2 + 132500^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211465253201 is a prime.

It is a super-2 number, since 2×211465253201² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211465253261) 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, 105732626600 + 105732626601.

It is an arithmetic number, because the mean of its divisors is an integer number (105732626601).

Almost surely, 2^211465253201 is an apocalyptic number.

It is an amenable number.

211465253201 is a deficient number, since it is larger than the sum of its proper divisors (1).

211465253201 is an equidigital number, since it uses as much as digits as its factorization.

211465253201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 211465253201 in words is "two hundred eleven billion, four hundred sixty-five million, two hundred fifty-three thousand, two hundred one".