1051009 has 2 divisors, whose sum is σ = 1051010. Its totient is φ = 1051008.

The previous prime is 1051007. The next prime is 1051019. The reversal of 1051009 is 9001501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1040400 + 10609 = 1020^2 + 103^2 .

It is a cyclic number.

It is not a de Polignac number, because 1051009 - 2¹ = 1051007 is a prime.

It is a super-2 number, since 2×1051009² = 2209239836162, which contains 22 as substring.

Together with 1051007, it forms a pair of twin primes.

1051009 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1050983 and 1051001.

It is not a weakly prime, because it can be changed into another prime (1051003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 525504 + 525505.

It is an arithmetic number, because the mean of its divisors is an integer number (525505).

2^1051009 is an apocalyptic number.

It is an amenable number.

1051009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1051009 is an equidigital number, since it uses as much as digits as its factorization.

1051009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45, while the sum is 16.

The square root of 1051009 is about 1025.1872999604. The cubic root of 1051009 is about 101.6721822085.

The spelling of 1051009 in words is "one million, fifty-one thousand, nine".