825510321 has 12 divisors (see below), whose sum is σ = 1194506820. Its totient is φ = 549369600.

The previous prime is 825510223. The next prime is 825510331. The reversal of 825510321 is 123015528.

It is a happy number.

825510321 is a `hidden beast` number, since 82 + 551 + 0 + 32 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 541958400 + 283551921 = 23280^2 + 16839^2 .

It is not a de Polignac number, because 825510321 - 2¹³ = 825502129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (825510331) 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, 75480 + ... + 85721.

It is an arithmetic number, because the mean of its divisors is an integer number (99542235).

Almost surely, 2^825510321 is an apocalyptic number.

It is an amenable number.

825510321 is a deficient number, since it is larger than the sum of its proper divisors (368996499).

825510321 is a wasteful number, since it uses less digits than its factorization.

825510321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161776 (or 161773 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 825510321 is about 28731.6954076852. The cubic root of 825510321 is about 938.0820713843.

Adding to 825510321 its reverse (123015528), we get a palindrome (948525849).

The spelling of 825510321 in words is "eight hundred twenty-five million, five hundred ten thousand, three hundred twenty-one".