172225830001 has 9 divisors (see below), whose sum is σ = 172762431681. Its totient is φ = 171690893712.

The previous prime is 172225829989. The next prime is 172225830067. The reversal of 172225830001 is 100038522271.

The square root of 172225830001 is 415001.

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 67223601 + 172158606400 = 8199^2 + 414920^2 .

It is not a de Polignac number, because 172225830001 - 2¹⁷ = 172225698929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (172225830071) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 254395275 + ... + 254395951.

Almost surely, 2^172225830001 is an apocalyptic number.

172225830001 is the 415001-st square number.

172225830001 is the 207501-st centered octagonal number.

It is an amenable number.

172225830001 is a deficient number, since it is larger than the sum of its proper divisors (536601680).

172225830001 is an frugal number, since it uses more digits than its factorization.

172225830001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 172225830001 in words is "one hundred seventy-two billion, two hundred twenty-five million, eight hundred thirty thousand, one".