314266754025 has 243 divisors, whose sum is σ = 693530853093. Its totient is φ = 135619142400.

The previous prime is 314266753993. The next prime is 314266754047. The reversal of 314266754025 is 520457662413.

The square root of 314266754025 is 560595.

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

314266754025 is a `hidden beast` number, since 3 + 1 + 4 + 26 + 67 + 540 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 447195609 + 313819558416 = 21147^2 + 560196^2 .

It is not a de Polignac number, because 314266754025 - 2⁵ = 314266753993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1118386885 + ... + 1118387165.

Almost surely, 2^314266754025 is an apocalyptic number.

314266754025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

314266754025 is the 560595-th square number.

314266754025 is the 280298-th centered octagonal number.

It is an amenable number.

314266754025 is an abundant number, since it is smaller than the sum of its proper divisors (379264099068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314266754025 is a wasteful number, since it uses less digits than its factorization.

314266754025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 314266754025 in words is "three hundred fourteen billion, two hundred sixty-six million, seven hundred fifty-four thousand, twenty-five".