513150203521200 has 240 divisors, whose sum is σ = 1888058759283200. Its totient is φ = 116702070312960.

The previous prime is 513150203521159. The next prime is 513150203521231. The reversal of 513150203521200 is 2125302051315.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151819129 + ... + 155162328.

Almost surely, 2^{513150203521200} is an apocalyptic number.

513150203521200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513150203521200 is an abundant number, since it is smaller than the sum of its proper divisors (1374908555762000).

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

513150203521200 is a wasteful number, since it uses less digits than its factorization.

513150203521200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306981684 (or 306981673 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 513150203521200 its reverse (2125302051315), we get a palindrome (515275505572515).

The spelling of 513150203521200 in words is "five hundred thirteen trillion, one hundred fifty billion, two hundred three million, five hundred twenty-one thousand, two hundred".