513436369680 has 640 divisors, whose sum is σ = 1963239344640. Its totient is φ = 122514923520.

The previous prime is 513436369679. The next prime is 513436369753. The reversal of 513436369680 is 86963634315.

513436369680 is a `hidden beast` number, since 5 + 13 + 436 + 36 + 96 + 80 = 666.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 343895014 + ... + 343896506.

It is an arithmetic number, because the mean of its divisors is an integer number (3067561476).

Almost surely, 2^513436369680 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 513436369680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981619672320).

513436369680 is an abundant number, since it is smaller than the sum of its proper divisors (1449802974960).

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

513436369680 is a wasteful number, since it uses less digits than its factorization.

513436369680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 513436369680 in words is "five hundred thirteen billion, four hundred thirty-six million, three hundred sixty-nine thousand, six hundred eighty".