211353305 has 16 divisors (see below), whose sum is σ = 262818000. Its totient is φ = 162973440.

The previous prime is 211353301. The next prime is 211353377. The reversal of 211353305 is 503353112.

It can be written as a sum of positive squares in 8 ways, for example, as 1364224 + 209989081 = 1168^2 + 14491^2 .

It is not a de Polignac number, because 211353305 - 2² = 211353301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211353301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135671 + ... + 137219.

It is an arithmetic number, because the mean of its divisors is an integer number (16426125).

Almost surely, 2^211353305 is an apocalyptic number.

It is an amenable number.

211353305 is a deficient number, since it is larger than the sum of its proper divisors (51464695).

211353305 is a wasteful number, since it uses less digits than its factorization.

211353305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524.

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 211353305 is about 14537.9952194242. The cubic root of 211353305 is about 595.6662780834. Note that the first 3 decimals are identical.

The spelling of 211353305 in words is "two hundred eleven million, three hundred fifty-three thousand, three hundred five".