253828125 has 72 divisors (see below), whose sum is σ = 483690168. Its totient is φ = 128250000.

The previous prime is 253828117. The next prime is 253828151. The reversal of 253828125 is 521828352.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 251095716 + 2732409 = 15846^2 + 1653^2 .

It is not a de Polignac number, because 253828125 - 2³ = 253828117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 253828125.

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 71 ways as a sum of consecutive naturals, for example, 13359366 + ... + 13359384.

It is an arithmetic number, because the mean of its divisors is an integer number (6717919).

Almost surely, 2^253828125 is an apocalyptic number.

253828125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253828125 is a deficient number, since it is larger than the sum of its proper divisors (229862043).

253828125 is an frugal number, since it uses more digits than its factorization.

253828125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 27 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 253828125 is about 15931.9843396860. The cubic root of 253828125 is about 633.1596746097.

The spelling of 253828125 in words is "two hundred fifty-three million, eight hundred twenty-eight thousand, one hundred twenty-five".