1013009 has 2 divisors, whose sum is σ = 1013010. Its totient is φ = 1013008.

The previous prime is 1013003. The next prime is 1013029. The reversal of 1013009 is 9003101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 529984 + 483025 = 728^2 + 695^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013009 - 2⁴ = 1012993 is a prime.

It is a Chen prime.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1012984 and 1013002.

It is not a weakly prime, because it can be changed into another prime (1013003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506504 + 506505.

It is an arithmetic number, because the mean of its divisors is an integer number (506505).

2^1013009 is an apocalyptic number.

It is an amenable number.

1013009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013009 is an equidigital number, since it uses as much as digits as its factorization.

1013009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 1013009 is about 1006.4834822291. The cubic root of 1013009 is about 100.4317664278.

The spelling of 1013009 in words is "one million, thirteen thousand, nine".