6825010248 has 192 divisors, whose sum is σ = 22514319360. Its totient is φ = 1825388928.

The previous prime is 6825010219. The next prime is 6825010277. The reversal of 6825010248 is 8420105286.

It is an interprime number because it is at equal distance from previous prime (6825010219) and next prime (6825010277).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538561 + ... + 551087.

It is an arithmetic number, because the mean of its divisors is an integer number (117262080).

Almost surely, 2^6825010248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6825010248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11257159680).

6825010248 is an abundant number, since it is smaller than the sum of its proper divisors (15689309112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6825010248 is a wasteful number, since it uses less digits than its factorization.

6825010248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12616 (or 12609 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 6825010248 is about 82613.6202329858. The cubic root of 6825010248 is about 1896.8563201799.

The spelling of 6825010248 in words is "six billion, eight hundred twenty-five million, ten thousand, two hundred forty-eight".