75688876174993 has 2 divisors, whose sum is σ = 75688876174994. Its totient is φ = 75688876174992.

The previous prime is 75688876174963. The next prime is 75688876175021. The reversal of 75688876174993 is 39947167888657.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52974043918929 + 22714832256064 = 7278327^2 + 4766008^2 .

It is a cyclic number.

It is not a de Polignac number, because 75688876174993 - 2¹³ = 75688876166801 is a prime.

It is not a weakly prime, because it can be changed into another prime (75688876174963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37844438087496 + 37844438087497.

It is an arithmetic number, because the mean of its divisors is an integer number (37844438087497).

Almost surely, 2^{75688876174993} is an apocalyptic number.

It is an amenable number.

75688876174993 is a deficient number, since it is larger than the sum of its proper divisors (1).

75688876174993 is an equidigital number, since it uses as much as digits as its factorization.

75688876174993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30725775360, while the sum is 88.

The spelling of 75688876174993 in words is "seventy-five trillion, six hundred eighty-eight billion, eight hundred seventy-six million, one hundred seventy-four thousand, nine hundred ninety-three".