75248084257 has 2 divisors, whose sum is σ = 75248084258. Its totient is φ = 75248084256.

The previous prime is 75248084239. The next prime is 75248084269.

75248084257 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., 56588797456 + 18659286801 = 237884^2 + 136599^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-75248084257 is a prime.

It is not a weakly prime, because it can be changed into another prime (75248084227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37624042128 + 37624042129.

It is an arithmetic number, because the mean of its divisors is an integer number (37624042129).

Almost surely, 2^75248084257 is an apocalyptic number.

It is an amenable number.

75248084257 is a deficient number, since it is larger than the sum of its proper divisors (1).

75248084257 is an equidigital number, since it uses as much as digits as its factorization.

75248084257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5017600, while the sum is 52.

The spelling of 75248084257 in words is "seventy-five billion, two hundred forty-eight million, eighty-four thousand, two hundred fifty-seven".