172129563225 has 81 divisors (see below), whose sum is σ = 327706864797. Its totient is φ = 86349185280.

The previous prime is 172129563217. The next prime is 172129563233. The reversal of 172129563225 is 522365921271.

The square root of 172129563225 is 414885.

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

172129563225 is a `hidden beast` number, since 1 + 7 + 2 + 1 + 2 + 9 + 5 + 632 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (172129563217) and next prime (172129563233).

It can be written as a sum of positive squares in 4 ways, for example, as 4026283209 + 168103280016 = 63453^2 + 410004^2 .

It is not a de Polignac number, because 172129563225 - 2³ = 172129563217 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 105794862 + ... + 105796488.

Almost surely, 2^172129563225 is an apocalyptic number.

172129563225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

172129563225 is the 414885-th square number.

172129563225 is the 207443-rd centered octagonal number.

It is an amenable number.

172129563225 is a deficient number, since it is larger than the sum of its proper divisors (155577301572).

172129563225 is an equidigital number, since it uses as much as digits as its factorization.

172129563225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 1652 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 172129563225 in words is "one hundred seventy-two billion, one hundred twenty-nine million, five hundred sixty-three thousand, two hundred twenty-five".