153088825 has 24 divisors (see below), whose sum is σ = 207944280. Its totient is φ = 111283200.

The previous prime is 153088813. The next prime is 153088829. The reversal of 153088825 is 528880351.

It can be written as a sum of positive squares in 12 ways, for example, as 788544 + 152300281 = 888^2 + 12341^2 .

It is not a de Polignac number, because 153088825 - 2⁷ = 153088697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (153088829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6115 + ... + 18535.

It is an arithmetic number, because the mean of its divisors is an integer number (8664345).

Almost surely, 2^153088825 is an apocalyptic number.

It is an amenable number.

153088825 is a deficient number, since it is larger than the sum of its proper divisors (54855455).

153088825 is a wasteful number, since it uses less digits than its factorization.

153088825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12477 (or 12472 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The square root of 153088825 is about 12372.9068936932. The cubic root of 153088825 is about 534.9516071173.

The spelling of 153088825 in words is "one hundred fifty-three million, eighty-eight thousand, eight hundred twenty-five".