516745312512 has 288 divisors, whose sum is σ = 1618172989440. Its totient is φ = 144325877760.

The previous prime is 516745312481. The next prime is 516745312541. The reversal of 516745312512 is 215213547615.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81156753 + ... + 81163119.

Almost surely, 2^516745312512 is an apocalyptic number.

516745312512 is a gapful number since it is divisible by the number (52) 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 516745312512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809086494720).

516745312512 is an abundant number, since it is smaller than the sum of its proper divisors (1101427676928).

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

516745312512 is a wasteful number, since it uses less digits than its factorization.

516745312512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7149 (or 7135 counting only the distinct ones).

The product of its digits is 252000, while the sum is 42.

The spelling of 516745312512 in words is "five hundred sixteen billion, seven hundred forty-five million, three hundred twelve thousand, five hundred twelve".