125853325 has 24 divisors (see below), whose sum is σ = 168692328. Its totient is φ = 92590080.

The previous prime is 125853311. The next prime is 125853341. The reversal of 125853325 is 523358521.

It can be written as a sum of positive squares in 12 ways, for example, as 75811849 + 50041476 = 8707^2 + 7074^2 .

It is not a de Polignac number, because 125853325 - 2⁹ = 125852813 is a prime.

It is a Duffinian number.

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 23 ways as a sum of consecutive naturals, for example, 114177 + ... + 115273.

It is an arithmetic number, because the mean of its divisors is an integer number (7028847).

Almost surely, 2^125853325 is an apocalyptic number.

It is an amenable number.

125853325 is a deficient number, since it is larger than the sum of its proper divisors (42839003).

125853325 is a wasteful number, since it uses less digits than its factorization.

125853325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1468 counting only the distinct ones).

The product of its digits is 36000, while the sum is 34.

The square root of 125853325 is about 11218.4368340692. The cubic root of 125853325 is about 501.1351874153.

The spelling of 125853325 in words is "one hundred twenty-five million, eight hundred fifty-three thousand, three hundred twenty-five".