825828251 has 8 divisors (see below), whose sum is σ = 866918400. Its totient is φ = 785641320.

The previous prime is 825828239. The next prime is 825828281. The reversal of 825828251 is 152828528.

825828251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 825828251 - 2¹⁰ = 825827227 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 825828199 and 825828208.

It is not an unprimeable number, because it can be changed into a prime (825828281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223931 + ... + 227588.

It is an arithmetic number, because the mean of its divisors is an integer number (108364800).

Almost surely, 2^825828251 is an apocalyptic number.

825828251 is a deficient number, since it is larger than the sum of its proper divisors (41090149).

825828251 is a wasteful number, since it uses less digits than its factorization.

825828251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451609.

The product of its digits is 102400, while the sum is 41.

The square root of 825828251 is about 28737.2276150641. The cubic root of 825828251 is about 938.2024842351.

The spelling of 825828251 in words is "eight hundred twenty-five million, eight hundred twenty-eight thousand, two hundred fifty-one".