278880147087025 has 81 divisors (see below), whose sum is σ = 383643047810113. Its totient is φ = 200952226182400.

The previous prime is 278880147087013. The next prime is 278880147087029. The reversal of 278880147087025 is 520780741088872.

The square root of 278880147087025 is 16699705.

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

It can be written as a sum of positive squares in 4 ways, for example, as 141883141383841 + 136997005703184 = 11911471^2 + 11704572^2 .

It is not a de Polignac number, because 278880147087025 - 2⁴³ = 270084054064817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (278880147087029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 103788665232 + ... + 103788667918.

Almost surely, 2^{278880147087025} is an apocalyptic number.

278880147087025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

278880147087025 is the 16699705-th square number.

278880147087025 is the 8349853-rd centered octagonal number.

It is an amenable number.

278880147087025 is a deficient number, since it is larger than the sum of its proper divisors (104762900723088).

278880147087025 is an frugal number, since it uses more digits than its factorization.

278880147087025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5632 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 112394240, while the sum is 67.

The spelling of 278880147087025 in words is "two hundred seventy-eight trillion, eight hundred eighty billion, one hundred forty-seven million, eighty-seven thousand, twenty-five".