513032010000 has 200 divisors, whose sum is σ = 1700899837824. Its totient is φ = 133110720000.

The previous prime is 513032009977. The next prime is 513032010047. The reversal of 513032010000 is 10230315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 878905 + ... + 1341095.

Almost surely, 2^513032010000 is an apocalyptic number.

513032010000 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 513032010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850449918912).

513032010000 is an abundant number, since it is smaller than the sum of its proper divisors (1187867827824).

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

513032010000 is a wasteful number, since it uses less digits than its factorization.

513032010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462259 (or 462238 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 513032010000 its reverse (10230315), we get a palindrome (513042240315).

The spelling of 513032010000 in words is "five hundred thirteen billion, thirty-two million, ten thousand".