218528200901 has 16 divisors (see below), whose sum is σ = 232042676400. Its totient is φ = 205087776768.

The previous prime is 218528200871. The next prime is 218528200951. The reversal of 218528200901 is 109002825812.

218528200901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 467470²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 76659211876 + 141868989025 = 276874^2 + 376655^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-218528200901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218528200951) 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 in 15 ways as a sum of consecutive naturals, for example, 10312445 + ... + 10333613.

It is an arithmetic number, because the mean of its divisors is an integer number (14502667275).

Almost surely, 2^218528200901 is an apocalyptic number.

It is an amenable number.

218528200901 is a deficient number, since it is larger than the sum of its proper divisors (13514475499).

218528200901 is a wasteful number, since it uses less digits than its factorization.

218528200901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22888.

The product of its (nonzero) digits is 23040, while the sum is 38.

The spelling of 218528200901 in words is "two hundred eighteen billion, five hundred twenty-eight million, two hundred thousand, nine hundred one".