1005114289 has 2 divisors, whose sum is σ = 1005114290. Its totient is φ = 1005114288.

The previous prime is 1005114251. The next prime is 1005114311. The reversal of 1005114289 is 9824115001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 584043889 + 421070400 = 24167^2 + 20520^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005114289 - 2¹³ = 1005106097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1005114289.

It is not a weakly prime, because it can be changed into another prime (1005114989) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502557144 + 502557145.

It is an arithmetic number, because the mean of its divisors is an integer number (502557145).

Almost surely, 2^1005114289 is an apocalyptic number.

It is an amenable number.

1005114289 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005114289 is an equidigital number, since it uses as much as digits as its factorization.

1005114289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 1005114289 is about 31703.5374840096. The cubic root of 1005114289 is about 1001.7018650124.

The spelling of 1005114289 in words is "one billion, five million, one hundred fourteen thousand, two hundred eighty-nine".