8020013 has 6 divisors (see below), whose sum is σ = 8192394. Its totient is φ = 7848464.

The previous prime is 8020007. The next prime is 8020027. The reversal of 8020013 is 3100208.

8020013 = 2002² + 2003².

It can be written as a sum of positive squares in 3 ways, for example, as 413449 + 7606564 = 643^2 + 2758^2 .

It is not a de Polignac number, because 8020013 - 2⁴ = 8019997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8020013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8020003) 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 in 5 ways as a sum of consecutive naturals, for example, 20423 + ... + 20811.

It is an arithmetic number, because the mean of its divisors is an integer number (1365399).

Almost surely, 2^8020013 is an apocalyptic number.

8020013 is the 2003-rd centered square number.

It is an amenable number.

8020013 is a deficient number, since it is larger than the sum of its proper divisors (172381).

8020013 is an frugal number, since it uses more digits than its factorization.

8020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 8020013 is about 2831.9627469301. The cubic root of 8020013 is about 200.1666361235.

The spelling of 8020013 in words is "eight million, twenty thousand, thirteen".