253628125 has 24 divisors (see below), whose sum is σ = 319245192. Its totient is φ = 201480000.

The previous prime is 253628101. The next prime is 253628129. The reversal of 253628125 is 521826352.

It can be written as a sum of positive squares in 12 ways, for example, as 249039961 + 4588164 = 15781^2 + 2142^2 .

It is a sliding number, since 253628125 = 48828125 + 204800000 and 1/48828125 + 1/204800000 = 0.0000000253628125.

It is not a de Polignac number, because 253628125 - 2⁹ = 253627613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253628129) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 865479 + ... + 865771.

It is an arithmetic number, because the mean of its divisors is an integer number (13301883).

Almost surely, 2^253628125 is an apocalyptic number.

253628125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253628125 is a deficient number, since it is larger than the sum of its proper divisors (65617067).

253628125 is an frugal number, since it uses more digits than its factorization.

253628125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 575 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 253628125 is about 15925.7064207526. The cubic root of 253628125 is about 632.9933347439.

The spelling of 253628125 in words is "two hundred fifty-three million, six hundred twenty-eight thousand, one hundred twenty-five".