249665112225 has 27 divisors (see below), whose sum is σ = 447191381299. Its totient is φ = 133150729200.

The previous prime is 249665112163. The next prime is 249665112227. The reversal of 249665112225 is 522211566942.

The square root of 249665112225 is 499665.

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

249665112225 is a `hidden beast` number, since 2 + 4 + 96 + 6 + 511 + 22 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89879440401 + 159785671824 = 299799^2 + 399732^2 .

It is not a de Polignac number, because 249665112225 - 2⁹ = 249665111713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249665112227) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7478320 + ... + 7511630.

Almost surely, 2^249665112225 is an apocalyptic number.

249665112225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

249665112225 is the 499665-th square number.

249665112225 is the 249833-rd centered octagonal number.

It is an amenable number.

249665112225 is a deficient number, since it is larger than the sum of its proper divisors (197526269074).

249665112225 is an frugal number, since it uses more digits than its factorization.

249665112225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66638 (or 33319 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 249665112225 in words is "two hundred forty-nine billion, six hundred sixty-five million, one hundred twelve thousand, two hundred twenty-five".