825510313 has 8 divisors (see below), whose sum is σ = 833625000. Its totient is φ = 817410048.

The previous prime is 825510223. The next prime is 825510331. The reversal of 825510313 is 313015528.

It can be written as a sum of positive squares in 4 ways, for example, as 3139984 + 822370329 = 1772^2 + 28677^2 .

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 825510313 - 2⁹ = 825509801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825510373) 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 7 ways as a sum of consecutive naturals, for example, 138213 + ... + 144061.

It is an arithmetic number, because the mean of its divisors is an integer number (104203125).

Almost surely, 2^825510313 is an apocalyptic number.

It is an amenable number.

825510313 is a deficient number, since it is larger than the sum of its proper divisors (8114687).

825510313 is a wasteful number, since it uses less digits than its factorization.

825510313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7211.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 825510313 is about 28731.6952684661. The cubic root of 825510313 is about 938.0820683540.

The spelling of 825510313 in words is "eight hundred twenty-five million, five hundred ten thousand, three hundred thirteen".