473185773225 has 135 divisors (see below), whose sum is σ = 934741656615. Its totient is φ = 228818066400.

The previous prime is 473185773217. The next prime is 473185773241. The reversal of 473185773225 is 522377581374.

The square root of 473185773225 is 687885.

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

473185773225 is a `hidden beast` number, since 4 + 7 + 3 + 18 + 577 + 32 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 170346878361 + 302838894864 = 412731^2 + 550308^2 .

It is not a de Polignac number, because 473185773225 - 2³ = 473185773217 is a prime.

It is a super-2 number, since 2×473185773225² (a number of 24 digits) contains 22 as substring.

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, 1248511086 + ... + 1248511464.

Almost surely, 2^473185773225 is an apocalyptic number.

473185773225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

473185773225 is the 687885-th square number.

473185773225 is the 343943-rd centered octagonal number.

It is an amenable number.

473185773225 is a deficient number, since it is larger than the sum of its proper divisors (461555883390).

473185773225 is an frugal number, since it uses more digits than its factorization.

473185773225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 398 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 54.

The spelling of 473185773225 in words is "four hundred seventy-three billion, one hundred eighty-five million, seven hundred seventy-three thousand, two hundred twenty-five".