5253125 has 18 divisors (see below), whose sum is σ = 6730038. Its totient is φ = 4100000.

The previous prime is 5253121. The next prime is 5253151. The reversal of 5253125 is 5213525.

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.

5253125 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 9 ways, for example, as 3928324 + 1324801 = 1982^2 + 1151^2 .

It is not a de Polignac number, because 5253125 - 2² = 5253121 is a prime.

It is a d-powerful number, because it can be written as 5³ + 2⁸ + 5⁷ + 3¹⁴ + 1 + 2¹⁰ + 5⁸ .

It is a Duffinian number.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 5253125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5253121) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 128105 + ... + 128145.

It is an arithmetic number, because the mean of its divisors is an integer number (373891).

Almost surely, 2^5253125 is an apocalyptic number.

It is an amenable number.

5253125 is a deficient number, since it is larger than the sum of its proper divisors (1476913).

5253125 is an frugal number, since it uses more digits than its factorization.

5253125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 46 counting only the distinct ones).

The product of its digits is 1500, while the sum is 23.

The square root of 5253125 is about 2291.9696769373. The cubic root of 5253125 is about 173.8358097958.

It can be divided in two parts, 5 and 253125, that multiplied together give a square (1265625 = 1125²).

The spelling of 5253125 in words is "five million, two hundred fifty-three thousand, one hundred twenty-five".