6825172000 has 48 divisors (see below), whose sum is σ = 16769457432. Its totient is φ = 2730067200.

The previous prime is 6825171989. The next prime is 6825172021. The reversal of 6825172000 is 2715286.

It can be written as a sum of positive squares in 4 ways, for example, as 646583184 + 6178588816 = 25428^2 + 78604^2 .

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, 849147 + ... + 857146.

Almost surely, 2^6825172000 is an apocalyptic number.

It is an amenable number.

6825172000 is an abundant number, since it is smaller than the sum of its proper divisors (9944285432).

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

6825172000 is a wasteful number, since it uses less digits than its factorization.

6825172000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706318 (or 1706300 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 6825172000 is about 82614.5991940892. The cubic root of 6825172000 is about 1896.8713051576.

Adding to 6825172000 its reverse (2715286), we get a palindrome (6827887286).

The spelling of 6825172000 in words is "six billion, eight hundred twenty-five million, one hundred seventy-two thousand".