6812788125 has 80 divisors (see below), whose sum is σ = 13335981120. Its totient is φ = 3048960000.

The previous prime is 6812788093. The next prime is 6812788153. The reversal of 6812788125 is 5218872186.

It is not a de Polignac number, because 6812788125 - 2⁵ = 6812788093 is a prime.

It is a super-2 number, since 2×6812788125² = 92828164072282031250, which contains 22 as substring.

It is a congruent 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 79 ways as a sum of consecutive naturals, for example, 255421 + ... + 280829.

It is an arithmetic number, because the mean of its divisors is an integer number (166699764).

Almost surely, 2^6812788125 is an apocalyptic number.

6812788125 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6812788125 is a deficient number, since it is larger than the sum of its proper divisors (6523192995).

6812788125 is a wasteful number, since it uses less digits than its factorization.

6812788125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25456 (or 25441 counting only the distinct ones).

The product of its digits is 430080, while the sum is 48.

The square root of 6812788125 is about 82539.6154885640. The cubic root of 6812788125 is about 1895.7233566066.

The spelling of 6812788125 in words is "six billion, eight hundred twelve million, seven hundred eighty-eight thousand, one hundred twenty-five".