1011001 has 2 divisors, whose sum is σ = 1011002. Its totient is φ = 1011000.

The previous prime is 1010993. The next prime is 1011013. The reversal of 1011001 is 1001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 921600 + 89401 = 960^2 + 299^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011001 - 2³ = 1010993 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011071) 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, 505500 + 505501.

It is an arithmetic number, because the mean of its divisors is an integer number (505501).

2^1011001 is an apocalyptic number.

It is an amenable number.

1011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011001 is an equidigital number, since it uses as much as digits as its factorization.

1011001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 1011001 is about 1005.4854548923. The cubic root of 1011001 is about 100.3653634696.

Adding to 1011001 its reverse (1001101), we get a palindrome (2012102).

Multiplying 1011001 by its reverse (1001101), we get a palindrome (1012114112101).

It can be divided in two parts, 101100 and 1, that added together give a palindrome (101101).

The spelling of 1011001 in words is "one million, eleven thousand, one".