249482025 has 99 divisors (see below), whose sum is σ = 502474629. Its totient is φ = 122821920.

The previous prime is 249482011. The next prime is 249482039. The reversal of 249482025 is 520284942.

The square root of 249482025 is 15795.

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

It is an interprime number because it is at equal distance from previous prime (249482011) and next prime (249482039).

It can be written as a sum of positive squares in 4 ways, for example, as 64304361 + 185177664 = 8019^2 + 13608^2 .

It is not a de Polignac number, because 249482025 - 2¹⁷ = 249350953 is a prime.

It is a Curzon number.

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 98 ways as a sum of consecutive naturals, for example, 19190919 + ... + 19190931.

Almost surely, 2^249482025 is an apocalyptic number.

249482025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

249482025 is the 15795-th square number.

249482025 is the 7898-th centered octagonal number.

It is an amenable number.

249482025 is an abundant number, since it is smaller than the sum of its proper divisors (252992604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

249482025 is an frugal number, since it uses more digits than its factorization.

249482025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The cubic root of 249482025 is about 629.5251523888.

Multiplying 249482025 by its sum of digits (36), we get a square (8981352900 = 94770²).

The spelling of 249482025 in words is "two hundred forty-nine million, four hundred eighty-two thousand, twenty-five".