7185105225 has 27 divisors (see below), whose sum is σ = 12871599559. Its totient is φ = 3831378000.

The previous prime is 7185105139. The next prime is 7185105251. The reversal of 7185105225 is 5225015817.

The square root of 7185105225 is 84765.

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

7185105225 is a `hidden beast` number, since 71 + 8 + 510 + 52 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2586637881 + 4598467344 = 50859^2 + 67812^2 .

It is a de Polignac number, because none of the positive numbers 2^k-7185105225 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7185105225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1268650 + ... + 1274300.

Almost surely, 2^7185105225 is an apocalyptic number.

7185105225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7185105225 is the 84765-th square number.

7185105225 is the 42383-rd centered octagonal number.

It is an amenable number.

7185105225 is a deficient number, since it is larger than the sum of its proper divisors (5686494334).

7185105225 is an frugal number, since it uses more digits than its factorization.

7185105225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11318 (or 5659 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The cubic root of 7185105225 is about 1929.6462992913.

Multiplying 7185105225 by its sum of digits (36), we get a square (258663788100 = 508590²).

The spelling of 7185105225 in words is "seven billion, one hundred eighty-five million, one hundred five thousand, two hundred twenty-five".