1005000610093 has 2 divisors, whose sum is σ = 1005000610094. Its totient is φ = 1005000610092.

The previous prime is 1005000610049. The next prime is 1005000610129. The reversal of 1005000610093 is 3900160005001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 741393325764 + 263607284329 = 861042^2 + 513427^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005000610093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005000610043) 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, 502500305046 + 502500305047.

It is an arithmetic number, because the mean of its divisors is an integer number (502500305047).

Almost surely, 2^{1005000610093} is an apocalyptic number.

It is an amenable number.

1005000610093 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005000610093 is an equidigital number, since it uses as much as digits as its factorization.

1005000610093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 25.

Adding to 1005000610093 its reverse (3900160005001), we get a palindrome (4905160615094).

The spelling of 1005000610093 in words is "one trillion, five billion, six hundred ten thousand, ninety-three".