34278273205225 has 135 divisors (see below), whose sum is σ = 51885884281623. Its totient is φ = 22461501474720.

The previous prime is 34278273205217. The next prime is 34278273205243. The reversal of 34278273205225 is 52250237287243.

The square root of 34278273205225 is 5854765.

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

It can be written as a sum of positive squares in only one way, i.e., 12340178353881 + 21938094851344 = 3512859^2 + 4683812^2 .

It is not a de Polignac number, because 34278273205225 - 2³ = 34278273205217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 32991600256 + ... + 32991601294.

Almost surely, 2^{34278273205225} is an apocalyptic number.

34278273205225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34278273205225 is the 5854765-th square number.

34278273205225 is the 2927383-rd centered octagonal number.

It is an amenable number.

34278273205225 is a deficient number, since it is larger than the sum of its proper divisors (17607611076398).

34278273205225 is an frugal number, since it uses more digits than its factorization.

34278273205225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 52.

The spelling of 34278273205225 in words is "thirty-four trillion, two hundred seventy-eight billion, two hundred seventy-three million, two hundred five thousand, two hundred twenty-five".