825303509 has 2 divisors, whose sum is σ = 825303510. Its totient is φ = 825303508.

The previous prime is 825303491. The next prime is 825303511. The reversal of 825303509 is 905303528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 687593284 + 137710225 = 26222^2 + 11735^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-825303509 is a prime.

It is a super-2 number, since 2×825303509² = 1362251763935426162, which contains 22 as substring.

Together with 825303511, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825303569) 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 as a sum of consecutive naturals, namely, 412651754 + 412651755.

It is an arithmetic number, because the mean of its divisors is an integer number (412651755).

Almost surely, 2^825303509 is an apocalyptic number.

It is an amenable number.

825303509 is a deficient number, since it is larger than the sum of its proper divisors (1).

825303509 is an equidigital number, since it uses as much as digits as its factorization.

825303509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 825303509 is about 28728.0961603793. The cubic root of 825303509 is about 938.0037267822.

The spelling of 825303509 in words is "eight hundred twenty-five million, three hundred three thousand, five hundred nine".