75605751225 has 81 divisors (see below), whose sum is σ = 141739884013. Its totient is φ = 38521496640.

The previous prime is 75605751191. The next prime is 75605751239. The reversal of 75605751225 is 52215750657.

The square root of 75605751225 is 274965.

It is a perfect power (a square), and thus also a powerful number.

75605751225 is a `hidden beast` number, since 7 + 5 + 60 + 57 + 512 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1847882169 + 73757869056 = 42987^2 + 271584^2 .

It is not a de Polignac number, because 75605751225 - 2⁷ = 75605751097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 94862527 + ... + 94863323.

Almost surely, 2^75605751225 is an apocalyptic number.

75605751225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

75605751225 is the 274965-th square number.

75605751225 is the 137483-rd centered octagonal number.

It is an amenable number.

75605751225 is a deficient number, since it is larger than the sum of its proper divisors (66134132788).

75605751225 is an equidigital number, since it uses as much as digits as its factorization.

75605751225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The spelling of 75605751225 in words is "seventy-five billion, six hundred five million, seven hundred fifty-one thousand, two hundred twenty-five".