6800476225 has 9 divisors (see below), whose sum is σ = 8433101833. Its totient is φ = 5440051120.

The previous prime is 6800476157. The next prime is 6800476247. The reversal of 6800476225 is 5226740086.

The square root of 6800476225 is 82465.

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 3240683329 + 3559792896 = 56927^2 + 59664^2 .

It is not a de Polignac number, because 6800476225 - 2¹³ = 6800468033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 404079 + ... + 420571.

Almost surely, 2^6800476225 is an apocalyptic number.

6800476225 is the 82465-th square number.

6800476225 is the 41233-rd centered octagonal number.

It is an amenable number.

6800476225 is a deficient number, since it is larger than the sum of its proper divisors (1632625608).

6800476225 is an frugal number, since it uses more digits than its factorization.

6800476225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32996 (or 16498 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The cubic root of 6800476225 is about 1894.5807000861.

It can be divided in two parts, 6800 and 476225, that added together give a square (483025 = 695²).

The spelling of 6800476225 in words is "six billion, eight hundred million, four hundred seventy-six thousand, two hundred twenty-five".