2853162225 has 45 divisors (see below), whose sum is σ = 5289498907. Its totient is φ = 1520404560.

The previous prime is 2853162223. The next prime is 2853162239. The reversal of 2853162225 is 5222613582.

It is a happy number.

The square root of 2853162225 is 53415.

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

2853162225 is a `hidden beast` number, since 2 + 8 + 5 + 3 + 1 + 622 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1027138401 + 1826023824 = 32049^2 + 42732^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2853162225 - 2¹ = 2853162223 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 2853162225.

It is not an unprimeable number, because it can be changed into a prime (2853162223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2403082 + ... + 2404268.

Almost surely, 2^2853162225 is an apocalyptic number.

2853162225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2853162225 is the 53415-th square number.

2853162225 is the 26708-th centered octagonal number.

It is an amenable number.

2853162225 is a deficient number, since it is larger than the sum of its proper divisors (2436336682).

2853162225 is an frugal number, since it uses more digits than its factorization.

2853162225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 1195 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The cubic root of 2853162225 is about 1418.3241197479.

Multiplying 2853162225 by its sum of digits (36), we get a square (102713840100 = 320490²).

Multiplying 2853162225 by its product of digits (57600), we get a square (164342144160000 = 12819600²).

The spelling of 2853162225 in words is "two billion, eight hundred fifty-three million, one hundred sixty-two thousand, two hundred twenty-five".