513521120000 has 180 divisors, whose sum is σ = 1463872173456. Its totient is φ = 176064000000.

The previous prime is 513521119957. The next prime is 513521120017. The reversal of 513521120000 is 21125315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 890750 + ... + 1349250.

Almost surely, 2^513521120000 is an apocalyptic number.

513521120000 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 513521120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731936086728).

513521120000 is an abundant number, since it is smaller than the sum of its proper divisors (950351053456).

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

513521120000 is an frugal number, since it uses more digits than its factorization.

513521120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458544 (or 458515 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 513521120000 its reverse (21125315), we get a palindrome (513542245315).

The spelling of 513521120000 in words is "five hundred thirteen billion, five hundred twenty-one million, one hundred twenty thousand".