219431349225 has 243 divisors, whose sum is σ = 461674932901. Its totient is φ = 99533068800.

The previous prime is 219431349197. The next prime is 219431349227. The reversal of 219431349225 is 522943134912.

The square root of 219431349225 is 468435.

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

219431349225 is a `hidden beast` number, since 21 + 94 + 31 + 3 + 492 + 25 = 666.

219431349225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5132719449 + 214298629776 = 71643^2 + 462924^2 .

It is not a de Polignac number, because 219431349225 - 2¹⁹ = 219430824937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (219431349227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1313960092 + ... + 1313960258.

Almost surely, 2^219431349225 is an apocalyptic number.

219431349225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

219431349225 is the 468435-th square number.

219431349225 is the 234218-th centered octagonal number.

It is an amenable number.

219431349225 is an abundant number, since it is smaller than the sum of its proper divisors (242243583676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

219431349225 is a wasteful number, since it uses less digits than its factorization.

219431349225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 203 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 219431349225 in words is "two hundred nineteen billion, four hundred thirty-one million, three hundred forty-nine thousand, two hundred twenty-five".