825687125 has 16 divisors (see below), whose sum is σ = 1031664816. Its totient is φ = 659776000.

The previous prime is 825687041. The next prime is 825687133. The reversal of 825687125 is 521786528.

It can be written as a sum of positive squares in 8 ways, for example, as 26946481 + 798740644 = 5191^2 + 28262^2 .

It is not a de Polignac number, because 825687125 - 2¹⁰ = 825686101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 118745 + ... + 125505.

It is an arithmetic number, because the mean of its divisors is an integer number (64479051).

Almost surely, 2^825687125 is an apocalyptic number.

It is an amenable number.

825687125 is a deficient number, since it is larger than the sum of its proper divisors (205977691).

825687125 is an equidigital number, since it uses as much as digits as its factorization.

825687125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7753 (or 7743 counting only the distinct ones).

The product of its digits is 268800, while the sum is 44.

The square root of 825687125 is about 28734.7720540811. The cubic root of 825687125 is about 938.1490379701.

The spelling of 825687125 in words is "eight hundred twenty-five million, six hundred eighty-seven thousand, one hundred twenty-five".