220876500625 has 45 divisors (see below), whose sum is σ = 303557520343. Its totient is φ = 160543460000.

The previous prime is 220876500623. The next prime is 220876500629. The reversal of 220876500625 is 526005678022.

The square root of 220876500625 is 469975.

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

It can be written as a sum of positive squares in 7 ways, for example, as 214940722689 + 5935777936 = 463617^2 + 77044^2 .

It is not a de Polignac number, because 220876500625 - 2¹ = 220876500623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220876500623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 129242271 + ... + 129243979.

Almost surely, 2^220876500625 is an apocalyptic number.

220876500625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

220876500625 is the 469975-th square number.

220876500625 is the 234988-th centered octagonal number.

It is an amenable number.

220876500625 is a deficient number, since it is larger than the sum of its proper divisors (82681019718).

220876500625 is an frugal number, since it uses more digits than its factorization.

220876500625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 220876500625 in words is "two hundred twenty billion, eight hundred seventy-six million, five hundred thousand, six hundred twenty-five".