218190753 has 40 divisors (see below), whose sum is σ = 357435936. Its totient is φ = 131544000.

The previous prime is 218190743. The next prime is 218190781. The reversal of 218190753 is 357091812.

It is a de Polignac number, because none of the positive numbers 2^k-218190753 is a prime.

It is a super-3 number, since 3×218190753³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (218190703) 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 39 ways as a sum of consecutive naturals, for example, 207078 + ... + 208128.

Almost surely, 2^218190753 is an apocalyptic number.

It is an amenable number.

218190753 is a deficient number, since it is larger than the sum of its proper divisors (139245183).

218190753 is a wasteful number, since it uses less digits than its factorization.

218190753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 218190753 is about 14771.2813594488. The cubic root of 218190753 is about 602.0216555309.

The spelling of 218190753 in words is "two hundred eighteen million, one hundred ninety thousand, seven hundred fifty-three".