5305153125 has 48 divisors (see below), whose sum is σ = 8895180672. Its totient is φ = 2812200000.

The previous prime is 5305153111. The next prime is 5305153151. The reversal of 5305153125 is 5213515035.

5305153125 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5305153125 - 2¹¹ = 5305151077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5305153092 and 5305153101.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1620240 + ... + 1623510.

It is an arithmetic number, because the mean of its divisors is an integer number (185316264).

Almost surely, 2^5305153125 is an apocalyptic number.

It is an amenable number.

5305153125 is a deficient number, since it is larger than the sum of its proper divisors (3590027547).

5305153125 is an equidigital number, since it uses as much as digits as its factorization.

5305153125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 30.

The square root of 5305153125 is about 72836.4821020346. The cubic root of 5305153125 is about 1744.0782837943.

It can be divided in two parts, 530 and 5153125, that added together give a triangular number (5153655 = T₃₂₁₀).

The spelling of 5305153125 in words is "five billion, three hundred five million, one hundred fifty-three thousand, one hundred twenty-five".