681513131296512 has 1728 divisors, whose sum is σ = 2271683246515200. Its totient is φ = 200891142144000.

The previous prime is 681513131296493. The next prime is 681513131296523. The reversal of 681513131296512 is 215692131315186.

681513131296512 is a `hidden beast` number, since 6 + 8 + 1 + 5 + 1 + 3 + 1 + 31 + 2 + 96 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×681513131296512² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 447480715783 + ... + 447480717305.

It is an arithmetic number, because the mean of its divisors is an integer number (1314631508400).

Almost surely, 2^{681513131296512} is an apocalyptic number.

681513131296512 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 681513131296512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135841623257600).

681513131296512 is an abundant number, since it is smaller than the sum of its proper divisors (1590170115218688).

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

681513131296512 is a wasteful number, since it uses less digits than its factorization.

681513131296512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1712 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The spelling of 681513131296512 in words is "six hundred eighty-one trillion, five hundred thirteen billion, one hundred thirty-one million, two hundred ninety-six thousand, five hundred twelve".