75457100993 has 2 divisors, whose sum is σ = 75457100994. Its totient is φ = 75457100992.

The previous prime is 75457100981. The next prime is 75457101019. The reversal of 75457100993 is 39900175457.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73697046784 + 1760054209 = 271472^2 + 41953^2 .

It is a cyclic number.

It is not a de Polignac number, because 75457100993 - 2¹⁶ = 75457035457 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (75457100903) by changing a digit.

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 as a sum of consecutive naturals, namely, 37728550496 + 37728550497.

It is an arithmetic number, because the mean of its divisors is an integer number (37728550497).

Almost surely, 2^75457100993 is an apocalyptic number.

It is an amenable number.

75457100993 is a deficient number, since it is larger than the sum of its proper divisors (1).

75457100993 is an equidigital number, since it uses as much as digits as its factorization.

75457100993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1190700, while the sum is 50.

The spelling of 75457100993 in words is "seventy-five billion, four hundred fifty-seven million, one hundred thousand, nine hundred ninety-three".