6825879905 has 8 divisors (see below), whose sum is σ = 8821137192. Its totient is φ = 5040649728.

The previous prime is 6825879877. The next prime is 6825879919. The reversal of 6825879905 is 5099785286.

It can be written as a sum of positive squares in 4 ways, for example, as 771950656 + 6053929249 = 27784^2 + 77807^2 .

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 6825879905 - 2⁸ = 6825879649 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 52506704 + ... + 52506833.

It is an arithmetic number, because the mean of its divisors is an integer number (1102642149).

Almost surely, 2^6825879905 is an apocalyptic number.

6825879905 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6825879905 is a deficient number, since it is larger than the sum of its proper divisors (1995257287).

6825879905 is a wasteful number, since it uses less digits than its factorization.

6825879905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105013555.

The product of its (nonzero) digits is 10886400, while the sum is 59.

The square root of 6825879905 is about 82618.8834649803. The cubic root of 6825879905 is about 1896.9368838839.

The spelling of 6825879905 in words is "six billion, eight hundred twenty-five million, eight hundred seventy-nine thousand, nine hundred five".