6501313536000 has 448 divisors, whose sum is σ = 22907884933440. Its totient is φ = 1631689113600.

The previous prime is 6501313535957. The next prime is 6501313536007. The reversal of 6501313536000 is 6353131056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6501313536007) 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, 52161756 + ... + 52286244.

Almost surely, 2^{6501313536000} is an apocalyptic number.

6501313536000 is a gapful number since it is divisible by the number (60) 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 6501313536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11453942466720).

6501313536000 is an abundant number, since it is smaller than the sum of its proper divisors (16406571397440).

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

6501313536000 is a wasteful number, since it uses less digits than its factorization.

6501313536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124550 (or 124516 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 33.

Adding to 6501313536000 its reverse (6353131056), we get a palindrome (6507666667056).

The spelling of 6501313536000 in words is "six trillion, five hundred one billion, three hundred thirteen million, five hundred thirty-six thousand".