825820527 has 8 divisors (see below), whose sum is σ = 1258393216. Its totient is φ = 471897432.

The previous prime is 825820477. The next prime is 825820531. The reversal of 825820527 is 725028528.

It is a happy number.

825820527 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 not a de Polignac number, because 825820527 - 2⁷ = 825820399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825820027) 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, 19662373 + ... + 19662414.

It is an arithmetic number, because the mean of its divisors is an integer number (157299152).

Almost surely, 2^825820527 is an apocalyptic number.

825820527 is a deficient number, since it is larger than the sum of its proper divisors (432572689).

825820527 is a wasteful number, since it uses less digits than its factorization.

825820527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39324797.

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 825820527 is about 28737.0932246113. The cubic root of 825820527 is about 938.1995592126.

The spelling of 825820527 in words is "eight hundred twenty-five million, eight hundred twenty thousand, five hundred twenty-seven".