75264846257 has 2 divisors, whose sum is σ = 75264846258. Its totient is φ = 75264846256.

The previous prime is 75264846211. The next prime is 75264846263.

75264846257 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., 46524764416 + 28740081841 = 215696^2 + 169529^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 75264846257 - 2⁶ = 75264846193 is a prime.

It is not a weakly prime, because it can be changed into another prime (75264846857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37632423128 + 37632423129.

It is an arithmetic number, because the mean of its divisors is an integer number (37632423129).

Almost surely, 2^75264846257 is an apocalyptic number.

It is an amenable number.

75264846257 is a deficient number, since it is larger than the sum of its proper divisors (1).

75264846257 is an equidigital number, since it uses as much as digits as its factorization.

75264846257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22579200, while the sum is 56.

The spelling of 75264846257 in words is "seventy-five billion, two hundred sixty-four million, eight hundred forty-six thousand, two hundred fifty-seven".