513024400000 has 384 divisors, whose sum is σ = 1494268110720. Its totient is φ = 171763200000.

The previous prime is 513024399959. The next prime is 513024400001. The reversal of 513024400000 is 4420315.

It is not an unprimeable number, because it can be changed into a prime (513024400001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120397870 + ... + 120402130.

It is an arithmetic number, because the mean of its divisors is an integer number (3891323205).

Almost surely, 2^513024400000 is an apocalyptic number.

513024400000 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 513024400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747134055360).

513024400000 is an abundant number, since it is smaller than the sum of its proper divisors (981243710720).

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

513024400000 is an frugal number, since it uses more digits than its factorization.

513024400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 513024400000 its reverse (4420315), we get a palindrome (513028820315).

The spelling of 513024400000 in words is "five hundred thirteen billion, twenty-four million, four hundred thousand".