75135825 has 36 divisors (see below), whose sum is σ = 140437440. Its totient is φ = 38327520.

The previous prime is 75135817. The next prime is 75135829. The reversal of 75135825 is 52853157.

75135825 is a `hidden beast` number, since 75 + 1 + 3 + 582 + 5 = 666.

It is not a de Polignac number, because 75135825 - 2³ = 75135817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 75135825.

It is not an unprimeable number, because it can be changed into a prime (75135829) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2085 + ... + 12434.

It is an arithmetic number, because the mean of its divisors is an integer number (3901040).

Almost surely, 2^75135825 is an apocalyptic number.

75135825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

75135825 is a deficient number, since it is larger than the sum of its proper divisors (65301615).

75135825 is a wasteful number, since it uses less digits than its factorization.

75135825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14558 (or 14550 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 75135825 is about 8668.0923506848. The cubic root of 75135825 is about 421.9707552190.

The spelling of 75135825 in words is "seventy-five million, one hundred thirty-five thousand, eight hundred twenty-five".