1006013 has 4 divisors (see below), whose sum is σ = 1019868. Its totient is φ = 992160.

The previous prime is 1006007. The next prime is 1006021. The reversal of 1006013 is 3106001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3106001 = 277 ⋅11213.

It can be written as a sum of positive squares in 2 ways, for example, as 573049 + 432964 = 757^2 + 658^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006013 - 2¹⁴ = 989629 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1005985 and 1006003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6818 + ... + 6963.

It is an arithmetic number, because the mean of its divisors is an integer number (254967).

2^1006013 is an apocalyptic number.

It is an amenable number.

1006013 is a deficient number, since it is larger than the sum of its proper divisors (13855).

1006013 is an equidigital number, since it uses as much as digits as its factorization.

1006013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13854.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1006013 is about 1003.0019940160. The cubic root of 1006013 is about 100.2000329348.

The spelling of 1006013 in words is "one million, six thousand, thirteen".