10185641993 has 2 divisors, whose sum is σ = 10185641994. Its totient is φ = 10185641992.

The previous prime is 10185641959. The next prime is 10185642017. The reversal of 10185641993 is 39914658101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9247322569 + 938319424 = 96163^2 + 30632^2 .

It is a cyclic number.

It is not a de Polignac number, because 10185641993 - 2²⁰ = 10184593417 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 (10185641933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5092820996 + 5092820997.

It is an arithmetic number, because the mean of its divisors is an integer number (5092820997).

Almost surely, 2^10185641993 is an apocalyptic number.

It is an amenable number.

10185641993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10185641993 is an equidigital number, since it uses as much as digits as its factorization.

10185641993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 233280, while the sum is 47.

The spelling of 10185641993 in words is "ten billion, one hundred eighty-five million, six hundred forty-one thousand, nine hundred ninety-three".