245417446298025 has 243 divisors, whose sum is σ = 466939024888791. Its totient is φ = 127948770430560.

The previous prime is 245417446297997. The next prime is 245417446298039. The reversal of 245417446298025 is 520892644714542.

The square root of 245417446298025 is 15665805.

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

245417446298025 is a `hidden beast` number, since 2 + 4 + 5 + 4 + 1 + 74 + 462 + 9 + 80 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88350280667289 + 157067165630736 = 9399483^2 + 12532644^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 245417446298025 - 2⁷ = 245417446297897 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 298198597764 + ... + 298198598586.

Almost surely, 2^{245417446298025} is an apocalyptic number.

245417446298025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

245417446298025 is the 15665805-th square number.

245417446298025 is the 7832903-rd centered octagonal number.

It is an amenable number.

245417446298025 is a deficient number, since it is larger than the sum of its proper divisors (221521578590766).

245417446298025 is an frugal number, since it uses more digits than its factorization.

245417446298025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 245417446298025 in words is "two hundred forty-five trillion, four hundred seventeen billion, four hundred forty-six million, two hundred ninety-eight thousand, twenty-five".