513361779840 has 768 divisors, whose sum is σ = 2188169867520. Its totient is φ = 107997069312.

The previous prime is 513361779829. The next prime is 513361779883. The reversal of 513361779840 is 48977163315.

513361779840 is a `hidden beast` number, since 5 + 13 + 3 + 617 + 7 + 9 + 8 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 208090287 + ... + 208092753.

It is an arithmetic number, because the mean of its divisors is an integer number (2849179515).

Almost surely, 2^513361779840 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 513361779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094084933760).

513361779840 is an abundant number, since it is smaller than the sum of its proper divisors (1674808087680).

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

513361779840 is a wasteful number, since it uses less digits than its factorization.

513361779840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 513361779840 in words is "five hundred thirteen billion, three hundred sixty-one million, seven hundred seventy-nine thousand, eight hundred forty".