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253125 = 3455
BaseRepresentation
bin111101110011000101
3110212020000
4331303011
531100000
65231513
72102655
oct756305
9425200
10253125
111631a4
12102599
138b2a2
1468365
1550000
hex3dcc5

253125 has 30 divisors (see below), whose sum is σ = 472626. Its totient is φ = 135000.

The previous prime is 253109. The next prime is 253133. The reversal of 253125 is 521352.

It is a happy number.

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 3 ways, for example, as 116964 + 136161 = 342^2 + 369^2 .

It is not a de Polignac number, because 253125 - 24 = 253109 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a nialpdrome in base 5 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 253098 and 253107.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253125.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 50623 + ... + 50627.

253125 is a Friedman number, since it can be written as 5^5*(3*(2+1))^2, using all its digits and the basic arithmetic operations.

2253125 is an apocalyptic number.

253125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253125 is a deficient number, since it is larger than the sum of its proper divisors (219501).

253125 is an frugal number, since it uses more digits than its factorization.

253125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 8 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 253125 is about 503.1152949375. The cubic root of 253125 is about 63.2574498976.

Adding to 253125 its reverse (521352), we get a palindrome (774477).

It can be divided in two parts, 2531 and 25, that added together give a triangular number (2556 = T71).

The spelling of 253125 in words is "two hundred fifty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 625 675 1125 1875 2025 3125 3375 5625 9375 10125 16875 28125 50625 84375 253125