75825288001 has 2 divisors, whose sum is σ = 75825288002. Its totient is φ = 75825288000.

The previous prime is 75825287977. The next prime is 75825288041. The reversal of 75825288001 is 10088252857.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43597857601 + 32227430400 = 208801^2 + 179520^2 .

It is a cyclic number.

It is not a de Polignac number, because 75825288001 - 2⁷ = 75825287873 is a prime.

It is not a weakly prime, because it can be changed into another prime (75825288041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37912644000 + 37912644001.

It is an arithmetic number, because the mean of its divisors is an integer number (37912644001).

Almost surely, 2^75825288001 is an apocalyptic number.

It is an amenable number.

75825288001 is a deficient number, since it is larger than the sum of its proper divisors (1).

75825288001 is an equidigital number, since it uses as much as digits as its factorization.

75825288001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 358400, while the sum is 46.

The spelling of 75825288001 in words is "seventy-five billion, eight hundred twenty-five million, two hundred eighty-eight thousand, one".