130025869281 has 135 divisors (see below), whose sum is σ = 241918832337. Its totient is φ = 67243009680.

The previous prime is 130025869273. The next prime is 130025869291. The reversal of 130025869281 is 182968520031.

The square root of 130025869281 is 360591.

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

130025869281 is a `hidden beast` number, since 1 + 300 + 2 + 5 + 8 + 69 + 281 = 666.

It is not a de Polignac number, because 130025869281 - 2³ = 130025869273 is a prime.

It is a super-3 number, since 3×130025869281³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (130025869201) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 583075536 + ... + 583075758.

Almost surely, 2^130025869281 is an apocalyptic number.

130025869281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130025869281 is the 360591-st square number.

130025869281 is the 180296-th centered octagonal number.

It is an amenable number.

130025869281 is a deficient number, since it is larger than the sum of its proper divisors (111892963056).

130025869281 is an frugal number, since it uses more digits than its factorization.

130025869281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 130025869281 in words is "one hundred thirty billion, twenty-five million, eight hundred sixty-nine thousand, two hundred eighty-one".