219272110225 has 81 divisors (see below), whose sum is σ = 336415947633. Its totient is φ = 141333615360.

The previous prime is 219272110219. The next prime is 219272110229. The reversal of 219272110225 is 522011272912.

The square root of 219272110225 is 468265.

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 5128994689 + 214143115536 = 71617^2 + 462756^2 .

It is not a de Polignac number, because 219272110225 - 2¹⁹ = 219271585937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (219272110229) 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, 278617282 + ... + 278618068.

Almost surely, 2^219272110225 is an apocalyptic number.

219272110225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

219272110225 is the 468265-th square number.

219272110225 is the 234133-rd centered octagonal number.

It is an amenable number.

219272110225 is a deficient number, since it is larger than the sum of its proper divisors (117143837408).

219272110225 is an frugal number, since it uses more digits than its factorization.

219272110225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 219272110225 in words is "two hundred nineteen billion, two hundred seventy-two million, one hundred ten thousand, two hundred twenty-five".