513240000000 has 1280 divisors, whose sum is σ = 2148294500352. Its totient is φ = 105984000000.

The previous prime is 513239999959. The next prime is 513240000067. The reversal of 513240000000 is 42315.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10919999977 + ... + 10920000023.

Almost surely, 2^513240000000 is an apocalyptic number.

513240000000 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 513240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074147250176).

513240000000 is an abundant number, since it is smaller than the sum of its proper divisors (1635054500352).

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

513240000000 is an frugal number, since it uses more digits than its factorization.

513240000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 513240000000 its reverse (42315), we get a palindrome (513240042315).

The spelling of 513240000000 in words is "five hundred thirteen billion, two hundred forty million", and thus it is an aban number.