1005135689 has 2 divisors, whose sum is σ = 1005135690. Its totient is φ = 1005135688.

The previous prime is 1005135683. The next prime is 1005135713. The reversal of 1005135689 is 9865315001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 594384400 + 410751289 = 24380^2 + 20267^2 .

It is an emirp because it is prime and its reverse (9865315001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005135689 - 2⁸ = 1005135433 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005135683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502567844 + 502567845.

It is an arithmetic number, because the mean of its divisors is an integer number (502567845).

Almost surely, 2^1005135689 is an apocalyptic number.

It is an amenable number.

1005135689 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005135689 is an equidigital number, since it uses as much as digits as its factorization.

1005135689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 38.

The square root of 1005135689 is about 31703.8749839826. The cubic root of 1005135689 is about 1001.7089740772.

The spelling of 1005135689 in words is "one billion, five million, one hundred thirty-five thousand, six hundred eighty-nine".