216551553201 has 27 divisors (see below), whose sum is σ = 314901840513. Its totient is φ = 143402564160.

The previous prime is 216551553193. The next prime is 216551553223. The reversal of 216551553201 is 102355155612.

The square root of 216551553201 is 465351.

It is a perfect power (a square), and thus also a powerful number.

216551553201 is a `hidden beast` number, since 21 + 6 + 551 + 55 + 32 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6123845025 + 210427708176 = 78255^2 + 458724^2 .

It is not a de Polignac number, because 216551553201 - 2³ = 216551553193 is a prime.

It is a super-3 number, since 3×216551553201³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (216551553301) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 252685165 + ... + 252686021.

Almost surely, 2^216551553201 is an apocalyptic number.

216551553201 is the 465351-st square number.

216551553201 is the 232676-th centered octagonal number.

It is an amenable number.

216551553201 is a deficient number, since it is larger than the sum of its proper divisors (98350287312).

216551553201 is an frugal number, since it uses more digits than its factorization.

216551553201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

Multiplying 216551553201 by its sum of digits (36), we get a square (7795855915236 = 2792106²).

The spelling of 216551553201 in words is "two hundred sixteen billion, five hundred fifty-one million, five hundred fifty-three thousand, two hundred one".