6313003136 has 64 divisors (see below), whose sum is σ = 13750832160. Its totient is φ = 2863104000.

The previous prime is 6313003133. The next prime is 6313003163.

6313003136 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (6313003133) 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 7 ways as a sum of consecutive naturals, for example, 652736 + ... + 662336.

Almost surely, 2^6313003136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6313003136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6875416080).

6313003136 is an abundant number, since it is smaller than the sum of its proper divisors (7437829024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6313003136 is a wasteful number, since it uses less digits than its factorization.

6313003136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10093 (or 10081 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

The square root of 6313003136 is about 79454.4091665151. The cubic root of 6313003136 is about 1848.1845483257.

It can be divided in two parts, 631300 and 3136, that added together give a palindrome (634436).

The spelling of 6313003136 in words is "six billion, three hundred thirteen million, three thousand, one hundred thirty-six".