218564001 has 10 divisors (see below), whose sum is σ = 326496962. Its totient is φ = 145709280.

The previous prime is 218563993. The next prime is 218564033. The reversal of 218564001 is 100465812.

218564001 is a `hidden beast` number, since 2 + 18 + 5 + 640 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 173606976 + 44957025 = 13176^2 + 6705^2 .

It is not a de Polignac number, because 218564001 - 2³ = 218563993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218564041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1349080 + ... + 1349241.

Almost surely, 2^218564001 is an apocalyptic number.

It is an amenable number.

218564001 is a deficient number, since it is larger than the sum of its proper divisors (107932961).

218564001 is an equidigital number, since it uses as much as digits as its factorization.

218564001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698333 (or 2698324 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 218564001 is about 14783.9102067078. The cubic root of 218564001 is about 602.3647427421.

The spelling of 218564001 in words is "two hundred eighteen million, five hundred sixty-four thousand, one".