6854630878225 has 81 divisors (see below), whose sum is σ = 9414842151027. Its totient is φ = 4948400820480.

The previous prime is 6854630878223. The next prime is 6854630878253. The reversal of 6854630878225 is 5228780364586.

The square root of 6854630878225 is 2618135.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3572852259601 + 3281778618624 = 1890199^2 + 1811568^2 .

It is not a de Polignac number, because 6854630878225 - 2¹ = 6854630878223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6854630878223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7998401997 + ... + 7998402853.

Almost surely, 2^{6854630878225} is an apocalyptic number.

6854630878225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6854630878225 is the 2618135-th square number.

6854630878225 is the 1309068-th centered octagonal number.

It is an amenable number.

6854630878225 is a deficient number, since it is larger than the sum of its proper divisors (2560211272802).

6854630878225 is an frugal number, since it uses more digits than its factorization.

6854630878225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 64.

Multiplying 6854630878225 by its sum of digits (64), we get a square (438696376206400 = 20945080²).

The spelling of 6854630878225 in words is "six trillion, eight hundred fifty-four billion, six hundred thirty million, eight hundred seventy-eight thousand, two hundred twenty-five".