218485953 has 18 divisors (see below), whose sum is σ = 367116594. Its totient is φ = 124848864.

The previous prime is 218485937. The next prime is 218485961. The reversal of 218485953 is 359584812.

218485953 is a `hidden beast` number, since 2 + 18 + 48 + 595 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115605504 + 102880449 = 10752^2 + 10143^2 .

It is not a de Polignac number, because 218485953 - 2⁴ = 218485937 is a prime.

It is a super-2 number, since 2×218485953² = 95472223316636418, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 218485899 and 218485908.

It is not an unprimeable number, because it can be changed into a prime (218485903) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 247276 + ... + 248157.

Almost surely, 2^218485953 is an apocalyptic number.

It is an amenable number.

218485953 is a deficient number, since it is larger than the sum of its proper divisors (148630641).

218485953 is a wasteful number, since it uses less digits than its factorization.

218485953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495453 (or 495443 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 218485953 is about 14781.2703445949. The cubic root of 218485953 is about 602.2930338294.

The spelling of 218485953 in words is "two hundred eighteen million, four hundred eighty-five thousand, nine hundred fifty-three".