249166225 has 81 divisors (see below), whose sum is σ = 404923953. Its totient is φ = 151536000.

The previous prime is 249166217. The next prime is 249166277. The reversal of 249166225 is 522661942.

The square root of 249166225 is 15785.

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

It can be written as a sum of positive squares in 4 ways, for example, as 104878081 + 144288144 = 10241^2 + 12012^2 .

It is not a de Polignac number, because 249166225 - 2³ = 249166217 is a prime.

Its product of digits (51840) is a multiple of the sum of its prime divisors (64).

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 6077205 + ... + 6077245.

Almost surely, 2^249166225 is an apocalyptic number.

249166225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

249166225 is the 15785-th square number.

249166225 is the 7893-rd centered octagonal number.

It is an amenable number.

249166225 is a deficient number, since it is larger than the sum of its proper divisors (155757728).

249166225 is a wasteful number, since it uses less digits than its factorization.

249166225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 64 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The cubic root of 249166225 is about 629.2594178325.

The spelling of 249166225 in words is "two hundred forty-nine million, one hundred sixty-six thousand, two hundred twenty-five".