171284238225 has 135 divisors (see below), whose sum is σ = 337662998211. Its totient is φ = 85819046400.

The previous prime is 171284238143. The next prime is 171284238283. The reversal of 171284238225 is 522832482171.

The square root of 171284238225 is 413865.

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

171284238225 is a `hidden beast` number, since 1 + 7 + 128 + 423 + 82 + 25 = 666.

171284238225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 77074530129 + 94209708096 = 277623^2 + 306936^2 .

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

It is not a de Polignac number, because 171284238225 - 2⁹ = 171284237713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 316606455 + ... + 316606995.

Almost surely, 2^171284238225 is an apocalyptic number.

171284238225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

171284238225 is the 413865-th square number.

171284238225 is the 206933-rd centered octagonal number.

It is an amenable number.

171284238225 is a deficient number, since it is larger than the sum of its proper divisors (166378759986).

171284238225 is an frugal number, since it uses more digits than its factorization.

171284238225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 566 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 171284238225 in words is "one hundred seventy-one billion, two hundred eighty-four million, two hundred thirty-eight thousand, two hundred twenty-five".