8201013 has 8 divisors (see below), whose sum is σ = 11230368. Its totient is φ = 5319504.

The previous prime is 8201009. The next prime is 8201033. The reversal of 8201013 is 3101028.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 8201013 - 2² = 8201009 is a prime.

It is a super-2 number, since 2×8201013² = 134513228452338, which contains 22 as substring.

It is a Curzon number.

8201013 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8200983 and 8201001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8201033) 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 in 7 ways as a sum of consecutive naturals, for example, 36831 + ... + 37052.

It is an arithmetic number, because the mean of its divisors is an integer number (1403796).

Almost surely, 2^8201013 is an apocalyptic number.

It is an amenable number.

8201013 is a deficient number, since it is larger than the sum of its proper divisors (3029355).

8201013 is a wasteful number, since it uses less digits than its factorization.

8201013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73923.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 8201013 is about 2863.7410846653. The cubic root of 8201013 is about 201.6612710196.

Adding to 8201013 its sum of digits (15), we get a palindrome (8201028).

The spelling of 8201013 in words is "eight million, two hundred one thousand, thirteen".