75852825857 has 2 divisors, whose sum is σ = 75852825858. Its totient is φ = 75852825856.

The previous prime is 75852825847. The next prime is 75852825859.

75852825857 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60878653696 + 14974172161 = 246736^2 + 122369^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 75852825857 - 2³⁶ = 7133349121 is a prime.

Together with 75852825859, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 75852825857.

It is not a weakly prime, because it can be changed into another prime (75852825859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37926412928 + 37926412929.

It is an arithmetic number, because the mean of its divisors is an integer number (37926412929).

Almost surely, 2^75852825857 is an apocalyptic number.

It is an amenable number.

75852825857 is a deficient number, since it is larger than the sum of its proper divisors (1).

75852825857 is an equidigital number, since it uses as much as digits as its factorization.

75852825857 is an evil number, because the sum of its binary digits is even.

The product of its digits is 62720000, while the sum is 62.

The spelling of 75852825857 in words is "seventy-five billion, eight hundred fifty-two million, eight hundred twenty-five thousand, eight hundred fifty-seven".