6825009741 has 32 divisors (see below), whose sum is σ = 10529671680. Its totient is φ = 3888705600.

The previous prime is 6825009733. The next prime is 6825009781. The reversal of 6825009741 is 1479005286.

It is not a de Polignac number, because 6825009741 - 2³ = 6825009733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6825009693 and 6825009702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6825009701) 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 in 31 ways as a sum of consecutive naturals, for example, 40591 + ... + 123683.

It is an arithmetic number, because the mean of its divisors is an integer number (329052240).

Almost surely, 2^6825009741 is an apocalyptic number.

It is an amenable number.

6825009741 is a deficient number, since it is larger than the sum of its proper divisors (3704661939).

6825009741 is a wasteful number, since it uses less digits than its factorization.

6825009741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83257.

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 6825009741 is about 82613.6171644845. The cubic root of 6825009741 is about 1896.8562732102.

The spelling of 6825009741 in words is "six billion, eight hundred twenty-five million, nine thousand, seven hundred forty-one".