172395193104225 has 243 divisors, whose sum is σ = 388987811146233. Its totient is φ = 72739419742080.

The previous prime is 172395193104223. The next prime is 172395193104229. The reversal of 172395193104225 is 522401391593271.

It is a happy number.

The square root of 172395193104225 is 13129935.

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

172395193104225 is a `hidden beast` number, since 1 + 7 + 2 + 3 + 95 + 19 + 310 + 4 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44435116045089 + 127960077059136 = 6665967^2 + 11311944^2 .

It is not a de Polignac number, because 172395193104225 - 2¹ = 172395193104223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (172395193104223) 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, 17922356466 + ... + 17922366084.

Almost surely, 2^{172395193104225} is an apocalyptic number.

172395193104225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

172395193104225 is the 13129935-th square number.

172395193104225 is the 6564968-th centered octagonal number.

It is an amenable number.

172395193104225 is an abundant number, since it is smaller than the sum of its proper divisors (216592618042008).

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

172395193104225 is an frugal number, since it uses more digits than its factorization.

172395193104225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19294 (or 9647 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 172395193104225 in words is "one hundred seventy-two trillion, three hundred ninety-five billion, one hundred ninety-three million, one hundred four thousand, two hundred twenty-five".