513542050120000 has 280 divisors, whose sum is σ = 1406767284869760. Its totient is φ = 184378721280000.

The previous prime is 513542050119997. The next prime is 513542050120081. The reversal of 513542050120000 is 21050245315.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27373032 + ... + 42146968.

Almost surely, 2^{513542050120000} is an apocalyptic number.

513542050120000 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 513542050120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703383642434880).

513542050120000 is an abundant number, since it is smaller than the sum of its proper divisors (893225234749760).

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

513542050120000 is a wasteful number, since it uses less digits than its factorization.

513542050120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14774059 (or 14774034 counting only the distinct ones).

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

The spelling of 513542050120000 in words is "five hundred thirteen trillion, five hundred forty-two billion, fifty million, one hundred twenty thousand".