1007013 has 16 divisors (see below), whose sum is σ = 1556480. Its totient is φ = 567216.

The previous prime is 1006991. The next prime is 1007021. The reversal of 1007013 is 3107001.

It is not a de Polignac number, because 1007013 - 2⁶ = 1006949 is a prime.

It is the 1004-th Hogben number.

It is a Duffinian number.

It is a Curzon number.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 1007013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007023) by changing a digit.

It is a nontrivial repunit in base 1003.

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 in 15 ways as a sum of consecutive naturals, for example, 1356 + ... + 1962.

It is an arithmetic number, because the mean of its divisors is an integer number (97280).

2^1007013 is an apocalyptic number.

It is an amenable number.

1007013 is a deficient number, since it is larger than the sum of its proper divisors (549467).

1007013 is an equidigital number, since it uses as much as digits as its factorization.

1007013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696.

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 1007013 is about 1003.5003736920. The cubic root of 1007013 is about 100.2332223173.

Subtracting from 1007013 its sum of digits (12), we obtain a palindrome (1007001).

The spelling of 1007013 in words is "one million, seven thousand, thirteen".