249829125 has 64 divisors (see below), whose sum is σ = 511719936. Its totient is φ = 105408000.

The previous prime is 249829117. The next prime is 249829133. The reversal of 249829125 is 521928942.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (249829117) and next prime (249829133).

It is not a de Polignac number, because 249829125 - 2³ = 249829117 is a prime.

It is a super-3 number, since 3×249829125³ (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30465 + ... + 37785.

It is an arithmetic number, because the mean of its divisors is an integer number (7995624).

Almost surely, 2^249829125 is an apocalyptic number.

249829125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

249829125 is an abundant number, since it is smaller than the sum of its proper divisors (261890811).

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

249829125 is a wasteful number, since it uses less digits than its factorization.

249829125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7359 (or 7349 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 249829125 is about 15805.9838352442. The cubic root of 249829125 is about 629.8169662287.

The spelling of 249829125 in words is "two hundred forty-nine million, eight hundred twenty-nine thousand, one hundred twenty-five".