129009825 has 72 divisors (see below), whose sum is σ = 267024576. Its totient is φ = 58320000.

The previous prime is 129009781. The next prime is 129009833. The reversal of 129009825 is 528900921.

It is not a de Polignac number, because 129009825 - 2⁷ = 129009697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 129009825.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158670 + ... + 159480.

Almost surely, 2^129009825 is an apocalyptic number.

129009825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

129009825 is an abundant number, since it is smaller than the sum of its proper divisors (138014751).

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

129009825 is a wasteful number, since it uses less digits than its factorization.

129009825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 129009825 is about 11358.2492048731. The cubic root of 129009825 is about 505.2902621750.

The spelling of 129009825 in words is "one hundred twenty-nine million, nine thousand, eight hundred twenty-five".