247928800520025 has 27 divisors (see below), whose sum is σ = 444068452412221. Its totient is φ = 132228567644640.

The previous prime is 247928800519889. The next prime is 247928800520069. The reversal of 247928800520025 is 520025008829742.

The square root of 247928800520025 is 15745755.

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

247928800520025 is a `hidden beast` number, since 2 + 4 + 7 + 92 + 8 + 8 + 0 + 0 + 520 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 133457460559641 + 114471339960384 = 11552379^2 + 10699128^2 .

It is not a de Polignac number, because 247928800520025 - 2¹⁷ = 247928800388953 is a prime.

It is a super-2 number, since 2×247928800520025² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 235661467 + ... + 236711183.

Almost surely, 2^{247928800520025} is an apocalyptic number.

247928800520025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

247928800520025 is the 15745755-th square number.

247928800520025 is the 7872878-th centered octagonal number.

It is an amenable number.

247928800520025 is a deficient number, since it is larger than the sum of its proper divisors (196139651892196).

247928800520025 is an frugal number, since it uses more digits than its factorization.

247928800520025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099450 (or 1049725 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 247928800520025 in words is "two hundred forty-seven trillion, nine hundred twenty-eight billion, eight hundred million, five hundred twenty thousand, twenty-five".