6878214225 has 135 divisors (see below), whose sum is σ = 13586748417. Its totient is φ = 3439480320.

The previous prime is 6878214199. The next prime is 6878214241. The reversal of 6878214225 is 5224128786.

The square root of 6878214225 is 82935.

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 252905409 + 6625308816 = 15903^2 + 81396^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 6878214225 - 2¹⁹ = 6877689937 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 (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 70909377 + ... + 70909473.

Almost surely, 2^6878214225 is an apocalyptic number.

6878214225 is the 82935-th square number.

6878214225 is the 41468-th centered octagonal number.

It is an amenable number.

6878214225 is a deficient number, since it is larger than the sum of its proper divisors (6708534192).

6878214225 is an equidigital number, since it uses as much as digits as its factorization.

6878214225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 124 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The cubic root of 6878214225 is about 1901.7725125731.

The spelling of 6878214225 in words is "six billion, eight hundred seventy-eight million, two hundred fourteen thousand, two hundred twenty-five".