6531137313792 has 1584 divisors, whose sum is σ = 23669266715136. Its totient is φ = 1583898624000.

The previous prime is 6531137313791. The next prime is 6531137313803. The reversal of 6531137313792 is 2973137311356.

It is a super-2 number, since 2×6531137313792² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6531137313791) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43252564917 + ... + 43252565067.

Almost surely, 2^{6531137313792} is an apocalyptic number.

6531137313792 is a gapful number since it is divisible by the number (62) 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 6531137313792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11834633357568).

6531137313792 is an abundant number, since it is smaller than the sum of its proper divisors (17138129401344).

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

6531137313792 is a wasteful number, since it uses less digits than its factorization.

6531137313792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 230 counting only the distinct ones).

The product of its digits is 2143260, while the sum is 51.

The spelling of 6531137313792 in words is "six trillion, five hundred thirty-one billion, one hundred thirty-seven million, three hundred thirteen thousand, seven hundred ninety-two".