508558124197993 has 2 divisors, whose sum is σ = 508558124197994. Its totient is φ = 508558124197992.

The previous prime is 508558124197943. The next prime is 508558124197999. The reversal of 508558124197993 is 399791421855805.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 353068496873689 + 155489627324304 = 18790117^2 + 12469548^2 .

It is a cyclic number.

It is not a de Polignac number, because 508558124197993 - 2¹⁷ = 508558124066921 is a prime.

It is not a weakly prime, because it can be changed into another prime (508558124197999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254279062098996 + 254279062098997.

It is an arithmetic number, because the mean of its divisors is an integer number (254279062098997).

Almost surely, 2^{508558124197993} is an apocalyptic number.

It is an amenable number.

508558124197993 is a deficient number, since it is larger than the sum of its proper divisors (1).

508558124197993 is an equidigital number, since it uses as much as digits as its factorization.

508558124197993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 979776000, while the sum is 76.

The spelling of 508558124197993 in words is "five hundred eight trillion, five hundred fifty-eight billion, one hundred twenty-four million, one hundred ninety-seven thousand, nine hundred ninety-three".