816825007 has 2 divisors, whose sum is σ = 816825008. Its totient is φ = 816825006.

The previous prime is 816824989. The next prime is 816825019. The reversal of 816825007 is 700528618.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 816825007 - 2¹⁵ = 816792239 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (816825407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 408412503 + 408412504.

It is an arithmetic number, because the mean of its divisors is an integer number (408412504).

Almost surely, 2^816825007 is an apocalyptic number.

816825007 is a deficient number, since it is larger than the sum of its proper divisors (1).

816825007 is an equidigital number, since it uses as much as digits as its factorization.

816825007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 816825007 is about 28580.1505769301. The cubic root of 816825007 is about 934.7805663861.

The spelling of 816825007 in words is "eight hundred sixteen million, eight hundred twenty-five thousand, seven".