129288135825 has 30 divisors (see below), whose sum is σ = 239486323494. Its totient is φ = 68953671360.

The previous prime is 129288135811. The next prime is 129288135839. The reversal of 129288135825 is 528531882921.

129288135825 is a `hidden beast` number, since 1 + 2 + 9 + 288 + 1 + 358 + 2 + 5 = 666.

129288135825 is digitally balanced in base 11, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (129288135811) and next prime (129288135839).

It can be written as a sum of positive squares in 3 ways, for example, as 42972046209 + 86316089616 = 207297^2 + 293796^2 .

It is not a de Polignac number, because 129288135825 - 2¹² = 129288131729 is a prime.

129288135825 is strictly pandigital in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31920972 + ... + 31925021.

Almost surely, 2^129288135825 is an apocalyptic number.

129288135825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

129288135825 is a deficient number, since it is larger than the sum of its proper divisors (110198187669).

129288135825 is an equidigital number, since it uses as much as digits as its factorization.

129288135825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63846015 (or 63846001 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The spelling of 129288135825 in words is "one hundred twenty-nine billion, two hundred eighty-eight million, one hundred thirty-five thousand, eight hundred twenty-five".