4013331253 has 16 divisors (see below), whose sum is σ = 4335904944. Its totient is φ = 3701145600.

The previous prime is 4013331211. The next prime is 4013331271. The reversal of 4013331253 is 3521333104.

It can be written as a sum of positive squares in 8 ways, for example, as 1182878449 + 2830452804 = 34393^2 + 53202^2 .

It is a cyclic number.

It is not a de Polignac number, because 4013331253 - 2²⁵ = 3979776821 is a prime.

It is a super-2 number, since 2×4013331253² = 32213655492613100018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013331053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154501 + ... + 178597.

It is an arithmetic number, because the mean of its divisors is an integer number (270994059).

Almost surely, 2^4013331253 is an apocalyptic number.

It is an amenable number.

4013331253 is a deficient number, since it is larger than the sum of its proper divisors (322573691).

4013331253 is a wasteful number, since it uses less digits than its factorization.

4013331253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24312.

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 4013331253 is about 63350.8583446191. The cubic root of 4013331253 is about 1589.1626001978.

Adding to 4013331253 its reverse (3521333104), we get a palindrome (7534664357).

The spelling of 4013331253 in words is "four billion, thirteen million, three hundred thirty-one thousand, two hundred fifty-three".