4001013 has 6 divisors (see below), whose sum is σ = 5779254. Its totient is φ = 2667336.

The previous prime is 4001009. The next prime is 4001017. The reversal of 4001013 is 3101004.

It is an interprime number because it is at equal distance from previous prime (4001009) and next prime (4001017).

It can be written as a sum of positive squares in only one way, i.e., 2762244 + 1238769 = 1662^2 + 1113^2 .

It is not a de Polignac number, because 4001013 - 2² = 4001009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 444557 = 4001013 / (4 + 0 + 0 + 1 + 0 + 1 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 4000986 and 4001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001017) 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 5 ways as a sum of consecutive naturals, for example, 222270 + ... + 222287.

It is an arithmetic number, because the mean of its divisors is an integer number (963209).

Almost surely, 2^4001013 is an apocalyptic number.

It is an amenable number.

4001013 is a deficient number, since it is larger than the sum of its proper divisors (1778241).

4001013 is a wasteful number, since it uses less digits than its factorization.

4001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444563 (or 444560 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 4001013 is about 2000.2532339681. The cubic root of 4001013 is about 158.7535043763.

Adding to 4001013 its reverse (3101004), we get a palindrome (7102017).

Subtracting from 4001013 its reverse (3101004), we obtain a palindrome (900009).

The spelling of 4001013 in words is "four million, one thousand, thirteen".