271217016225 has 135 divisors (see below), whose sum is σ = 512708544579. Its totient is φ = 141736845600.

The previous prime is 271217016223. The next prime is 271217016241. The reversal of 271217016225 is 522610712172.

The square root of 271217016225 is 520785.

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

271217016225 is a `hidden beast` number, since 2 + 7 + 1 + 21 + 7 + 0 + 1 + 622 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 97638125841 + 173578890384 = 312471^2 + 416628^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 271217016225 - 2¹ = 271217016223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 271217016225.

It is not an unprimeable number, because it can be changed into a prime (271217016223) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1663907994 + ... + 1663908156.

Almost surely, 2^271217016225 is an apocalyptic number.

271217016225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

271217016225 is the 520785-th square number.

271217016225 is the 260393-rd centered octagonal number.

It is an amenable number.

271217016225 is a deficient number, since it is larger than the sum of its proper divisors (241491528354).

271217016225 is an frugal number, since it uses more digits than its factorization.

271217016225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Multiplying 271217016225 by its sum of digits (36), we get a square (9763812584100 = 3124710²).

Adding to 271217016225 its reverse (522610712172), we get a palindrome (793827728397).

The spelling of 271217016225 in words is "two hundred seventy-one billion, two hundred seventeen million, sixteen thousand, two hundred twenty-five".