219468825625 has 45 divisors (see below), whose sum is σ = 319142684619. Its totient is φ = 150436692000.

The previous prime is 219468825557. The next prime is 219468825643. The reversal of 219468825625 is 526528864912.

The square root of 219468825625 is 468475.

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 214759023241 + 4709802384 = 463421^2 + 68628^2 .

It is not a de Polignac number, because 219468825625 - 2¹³ = 219468817433 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 219468825625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 81981787 + ... + 81984463.

Almost surely, 2^219468825625 is an apocalyptic number.

219468825625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

219468825625 is the 468475-th square number.

219468825625 is the 234238-th centered octagonal number.

It is an amenable number.

219468825625 is a deficient number, since it is larger than the sum of its proper divisors (99673858994).

219468825625 is an frugal number, since it uses more digits than its factorization.

219468825625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5388 (or 2689 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 58.

The spelling of 219468825625 in words is "two hundred nineteen billion, four hundred sixty-eight million, eight hundred twenty-five thousand, six hundred twenty-five".