511315113200 has 120 divisors (see below), whose sum is σ = 1313325325728. Its totient is φ = 190625955840.

The previous prime is 511315113191. The next prime is 511315113229. The reversal of 511315113200 is 2311513115.

It is a super-2 number, since 2×511315113200² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335384 + ... + 1065416.

Almost surely, 2^511315113200 is an apocalyptic number.

511315113200 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 511315113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656662662864).

511315113200 is an abundant number, since it is smaller than the sum of its proper divisors (802010212528).

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

511315113200 is a wasteful number, since it uses less digits than its factorization.

511315113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730171 (or 730160 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 23.

Adding to 511315113200 its reverse (2311513115), we get a palindrome (513626626315).

The spelling of 511315113200 in words is "five hundred eleven billion, three hundred fifteen million, one hundred thirteen thousand, two hundred".