6315005136 has 160 divisors (see below), whose sum is σ = 18208263168. Its totient is φ = 1869880320.

The previous prime is 6315005131. The next prime is 6315005219.

6315005136 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×6315005136⁴ (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6315005131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4845861 + ... + 4847163.

Almost surely, 2^6315005136 is an apocalyptic number.

6315005136 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6315005136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9104131584).

6315005136 is an abundant number, since it is smaller than the sum of its proper divisors (11893258032).

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

6315005136 is a wasteful number, since it uses less digits than its factorization.

6315005136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 6315005136 is about 79467.0065876399. The cubic root of 6315005136 is about 1848.3798951007.

It can be divided in two parts, 631500 and 5136, that added together give a palindrome (636636).

The spelling of 6315005136 in words is "six billion, three hundred fifteen million, five thousand, one hundred thirty-six".