75842309144993 has 2 divisors, whose sum is σ = 75842309144994. Its totient is φ = 75842309144992.

The previous prime is 75842309144941. The next prime is 75842309145013. The reversal of 75842309144993 is 39944190324857.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75688729805329 + 153579339664 = 8699927^2 + 391892^2 .

It is a cyclic number.

It is not a de Polignac number, because 75842309144993 - 2¹⁴ = 75842309128609 is a prime.

It is not a weakly prime, because it can be changed into another prime (75842309144093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37921154572496 + 37921154572497.

It is an arithmetic number, because the mean of its divisors is an integer number (37921154572497).

Almost surely, 2^{75842309144993} is an apocalyptic number.

It is an amenable number.

75842309144993 is a deficient number, since it is larger than the sum of its proper divisors (1).

75842309144993 is an equidigital number, since it uses as much as digits as its factorization.

75842309144993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 235146240, while the sum is 68.

The spelling of 75842309144993 in words is "seventy-five trillion, eight hundred forty-two billion, three hundred nine million, one hundred forty-four thousand, nine hundred ninety-three".