271755225 has 81 divisors (see below), whose sum is σ = 569841597. Its totient is φ = 123439680.

The previous prime is 271755223. The next prime is 271755229. The reversal of 271755225 is 522557172.

The square root of 271755225 is 16485.

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

It can be written as a sum of positive squares in 4 ways, for example, as 32867289 + 238887936 = 5733^2 + 15456^2 .

It is not a de Polignac number, because 271755225 - 2¹ = 271755223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 271755225.

It is not an unprimeable number, because it can be changed into a prime (271755223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1730847 + ... + 1731003.

Almost surely, 2^271755225 is an apocalyptic number.

271755225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

271755225 is the 16485-th square number.

271755225 is the 8243-rd centered octagonal number.

It is an amenable number.

271755225 is an abundant number, since it is smaller than the sum of its proper divisors (298086372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

271755225 is a wasteful number, since it uses less digits than its factorization.

271755225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 172 counting only the distinct ones).

The product of its digits is 49000, while the sum is 36.

The cubic root of 271755225 is about 647.7279450677.

Multiplying 271755225 by its sum of digits (36), we get a square (9783188100 = 98910²).

It can be divided in two parts, 27175 and 5225, that added together give a square (32400 = 180²).

The spelling of 271755225 in words is "two hundred seventy-one million, seven hundred fifty-five thousand, two hundred twenty-five".