1006513 has 2 divisors, whose sum is σ = 1006514. Its totient is φ = 1006512.

The previous prime is 1006507. The next prime is 1006531. The reversal of 1006513 is 3156001.

Together with next prime (1006531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 954529 + 51984 = 977^2 + 228^2 .

It is an emirp because it is prime and its reverse (3156001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1006513 is a prime.

1006513 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (1006543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503256 + 503257.

It is an arithmetic number, because the mean of its divisors is an integer number (503257).

2^1006513 is an apocalyptic number.

It is an amenable number.

1006513 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006513 is an equidigital number, since it uses as much as digits as its factorization.

1006513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1006513 is about 1003.2512148012. The cubic root of 1006513 is about 100.2166303739.

The spelling of 1006513 in words is "one million, six thousand, five hundred thirteen".