512713341216 has 120 divisors (see below), whose sum is σ = 1509055330860. Its totient is φ = 170770747392.

The previous prime is 512713341191. The next prime is 512713341227. The reversal of 512713341216 is 612143317215.

512713341216 is a `hidden beast` number, since 51 + 271 + 334 + 1 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 395132931216 + 117580410000 = 628596^2 + 342900^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3264360 + ... + 3417816.

Almost surely, 2^512713341216 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 512713341216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754527665430).

512713341216 is an abundant number, since it is smaller than the sum of its proper divisors (996341989644).

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

512713341216 is a wasteful number, since it uses less digits than its factorization.

512713341216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154768 (or 154751 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The spelling of 512713341216 in words is "five hundred twelve billion, seven hundred thirteen million, three hundred forty-one thousand, two hundred sixteen".