215792766225 has 243 divisors, whose sum is σ = 426230252721. Its totient is φ = 108366724800.

The previous prime is 215792766223. The next prime is 215792766239. The reversal of 215792766225 is 522667297512.

The square root of 215792766225 is 464535.

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

215792766225 is a `hidden beast` number, since 2 + 1 + 5 + 7 + 9 + 2 + 7 + 6 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20485338129 + 195307428096 = 143127^2 + 441936^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 215792766225 - 2¹ = 215792766223 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (215792766223) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 5832236907 + ... + 5832236943.

Almost surely, 2^215792766225 is an apocalyptic number.

215792766225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

215792766225 is the 464535-th square number.

215792766225 is the 232268-th centered octagonal number.

It is an amenable number.

215792766225 is a deficient number, since it is larger than the sum of its proper divisors (210437486496).

215792766225 is an frugal number, since it uses more digits than its factorization.

215792766225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 76 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 215792766225 in words is "two hundred fifteen billion, seven hundred ninety-two million, seven hundred sixty-six thousand, two hundred twenty-five".