253125441 has 12 divisors (see below), whose sum is σ = 365903460. Its totient is φ = 168622080.

The previous prime is 253125421. The next prime is 253125463. The reversal of 253125441 is 144521352.

It can be written as a sum of positive squares in 2 ways, for example, as 106812225 + 146313216 = 10335^2 + 12096^2 .

It is not a de Polignac number, because 253125441 - 2¹⁴ = 253109057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (253125421) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2701 + ... + 22661.

It is an arithmetic number, because the mean of its divisors is an integer number (30491955).

Almost surely, 2^253125441 is an apocalyptic number.

It is an amenable number.

253125441 is a deficient number, since it is larger than the sum of its proper divisors (112778019).

253125441 is a wasteful number, since it uses less digits than its factorization.

253125441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21376 (or 21373 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 253125441 is about 15909.9164359842. The cubic root of 253125441 is about 632.5748663379.

Adding to 253125441 its reverse (144521352), we get a palindrome (397646793).

It can be divided in two parts, 2531 and 25441, that added together give a palindrome (27972).

The spelling of 253125441 in words is "two hundred fifty-three million, one hundred twenty-five thousand, four hundred forty-one".