249166125 has 96 divisors (see below), whose sum is σ = 502424832. Its totient is φ = 122472000.

The previous prime is 249166087. The next prime is 249166163. The reversal of 249166125 is 521661942.

249166125 is a `hidden beast` number, since 24 + 9 + 16 + 612 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (249166087) and next prime (249166163).

It is not a de Polignac number, because 249166125 - 2⁹ = 249165613 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 249166125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 394560 + ... + 395190.

It is an arithmetic number, because the mean of its divisors is an integer number (5233592).

Almost surely, 2^249166125 is an apocalyptic number.

249166125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

249166125 is an abundant number, since it is smaller than the sum of its proper divisors (253258707).

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

249166125 is an equidigital number, since it uses as much as digits as its factorization.

249166125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 652 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 249166125 is about 15784.9968324355. The cubic root of 249166125 is about 629.2593336504.

The spelling of 249166125 in words is "two hundred forty-nine million, one hundred sixty-six thousand, one hundred twenty-five".