511052145200000 has 192 divisors, whose sum is σ = 1272944435873040. Its totient is φ = 204358809600000.

The previous prime is 511052145199933. The next prime is 511052145200081. The reversal of 511052145200000 is 2541250115.

It is a super-2 number, since 2×511052145200000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1329007760 + ... + 1329392240.

Almost surely, 2^{511052145200000} is an apocalyptic number.

511052145200000 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 511052145200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636472217936520).

511052145200000 is an abundant number, since it is smaller than the sum of its proper divisors (761892290673040).

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

511052145200000 is an frugal number, since it uses more digits than its factorization.

511052145200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387843 (or 387811 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

Adding to 511052145200000 its reverse (2541250115), we get a palindrome (511054686450115).

The spelling of 511052145200000 in words is "five hundred eleven trillion, fifty-two billion, one hundred forty-five million, two hundred thousand".