6803775225 has 189 divisors, whose sum is σ = 13994729373. Its totient is φ = 3278283840.

The previous prime is 6803775193. The next prime is 6803775263. The reversal of 6803775225 is 5225773086.

The square root of 6803775225 is 82485.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1753683129 + 5050092096 = 41877^2 + 71064^2 .

It is not a de Polignac number, because 6803775225 - 2⁵ = 6803775193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 144761152 + ... + 144761198.

Almost surely, 2^6803775225 is an apocalyptic number.

6803775225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6803775225 is the 82485-th square number.

6803775225 is the 41243-rd centered octagonal number.

It is an amenable number.

6803775225 is an abundant number, since it is smaller than the sum of its proper divisors (7190954148).

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

6803775225 is an equidigital number, since it uses as much as digits as its factorization.

6803775225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The cubic root of 6803775225 is about 1894.8870125220.

The spelling of 6803775225 in words is "six billion, eight hundred three million, seven hundred seventy-five thousand, two hundred twenty-five".