512526520000000 has 1280 divisors, whose sum is σ = 1486926693457920. Its totient is φ = 174528000000000.

The previous prime is 512526519999983. The next prime is 512526520000003. The reversal of 512526520000000 is 25625215.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512526520000003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 844359999697 + ... + 844360000303.

It is an arithmetic number, because the mean of its divisors is an integer number (1161661479264).

Almost surely, 2^{512526520000000} is an apocalyptic number.

512526520000000 is a gapful number since it is divisible by the number (50) 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 512526520000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743463346728960).

512526520000000 is an abundant number, since it is smaller than the sum of its proper divisors (974400173457920).

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

512526520000000 is an frugal number, since it uses more digits than its factorization.

512526520000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 512526520000000 its reverse (25625215), we get a palindrome (512526545625215).

The spelling of 512526520000000 in words is "five hundred twelve trillion, five hundred twenty-six billion, five hundred twenty million", and thus it is an aban number.