219150378225 has 135 divisors (see below), whose sum is σ = 414020522289. Its totient is φ = 114599448000.

The previous prime is 219150378173. The next prime is 219150378233. The reversal of 219150378225 is 522873051912.

The square root of 219150378225 is 468135.

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

219150378225 is a `hidden beast` number, since 2 + 1 + 9 + 1 + 50 + 378 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40464943281 + 178685434944 = 201159^2 + 422712^2 .

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

It is not a de Polignac number, because 219150378225 - 2²³ = 219141989617 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, 2127673524 + ... + 2127673626.

Almost surely, 2^219150378225 is an apocalyptic number.

219150378225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

219150378225 is the 468135-th square number.

219150378225 is the 234068-th centered octagonal number.

It is an amenable number.

219150378225 is a deficient number, since it is larger than the sum of its proper divisors (194870144064).

219150378225 is an equidigital number, since it uses as much as digits as its factorization.

219150378225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 219150378225 in words is "two hundred nineteen billion, one hundred fifty million, three hundred seventy-eight thousand, two hundred twenty-five".