513680693760 has 1120 divisors, whose sum is σ = 2055801420288. Its totient is φ = 122186465280.

The previous prime is 513680693731. The next prime is 513680693767. The reversal of 513680693760 is 67396086315.

513680693760 is a `hidden beast` number, since 5 + 136 + 80 + 69 + 376 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 513680693697 and 513680693706.

It is not an unprimeable number, because it can be changed into a prime (513680693767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 752094379 + ... + 752095061.

Almost surely, 2^513680693760 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 513680693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027900710144).

513680693760 is an abundant number, since it is smaller than the sum of its proper divisors (1542120726528).

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

513680693760 is an equidigital number, since it uses as much as digits as its factorization.

513680693760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 513680693760 in words is "five hundred thirteen billion, six hundred eighty million, six hundred ninety-three thousand, seven hundred sixty".