1005114311 has 2 divisors, whose sum is σ = 1005114312. Its totient is φ = 1005114310.

The previous prime is 1005114289. The next prime is 1005114323. The reversal of 1005114311 is 1134115001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1005114311 - 2¹⁴ = 1005097927 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1005114311.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005114371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502557155 + 502557156.

It is an arithmetic number, because the mean of its divisors is an integer number (502557156).

Almost surely, 2^1005114311 is an apocalyptic number.

1005114311 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005114311 is an equidigital number, since it uses as much as digits as its factorization.

1005114311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 1005114311 is about 31703.5378309740. The cubic root of 1005114311 is about 1001.7018723209.

Adding to 1005114311 its reverse (1134115001), we get a palindrome (2139229312).

The spelling of 1005114311 in words is "one billion, five million, one hundred fourteen thousand, three hundred eleven".