4172357743225 has 81 divisors (see below), whose sum is σ = 6395125270887. Its totient is φ = 2691964154880.

The previous prime is 4172357743219. The next prime is 4172357743243. The reversal of 4172357743225 is 5223477532714.

The square root of 4172357743225 is 2042635.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2164956161641 + 2007401581584 = 1471379^2 + 1416828^2 .

It is not a de Polignac number, because 4172357743225 - 2⁷ = 4172357743097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1215366109 + ... + 1215369541.

Almost surely, 2^{4172357743225} is an apocalyptic number.

4172357743225 is the 2042635-th square number.

4172357743225 is the 1021318-th centered octagonal number.

It is an amenable number.

4172357743225 is a deficient number, since it is larger than the sum of its proper divisors (2222767527662).

4172357743225 is an frugal number, since it uses more digits than its factorization.

4172357743225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6924 (or 3462 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 52.

The spelling of 4172357743225 in words is "four trillion, one hundred seventy-two billion, three hundred fifty-seven million, seven hundred forty-three thousand, two hundred twenty-five".