514324134255000 has 320 divisors, whose sum is σ = 1658681655966720. Its totient is φ = 132720609600000.

The previous prime is 514324134254981. The next prime is 514324134255013. The reversal of 514324134255000 is 552431423415.

It is a self number, because there is not a number n which added to its sum of digits gives 514324134255000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12251334010 + ... + 12251375990.

It is an arithmetic number, because the mean of its divisors is an integer number (5183380174896).

Almost surely, 2^{514324134255000} is an apocalyptic number.

514324134255000 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 514324134255000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829340827983360).

514324134255000 is an abundant number, since it is smaller than the sum of its proper divisors (1144357521711720).

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

514324134255000 is a wasteful number, since it uses less digits than its factorization.

514324134255000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68388 (or 68369 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

Adding to 514324134255000 its reverse (552431423415), we get a palindrome (514876565678415).

The spelling of 514324134255000 in words is "five hundred fourteen trillion, three hundred twenty-four billion, one hundred thirty-four million, two hundred fifty-five thousand".