514005200000 has 384 divisors, whose sum is σ = 1365079035600. Its totient is φ = 192102400000.

The previous prime is 514005199999. The next prime is 514005200011. The reversal of 514005200000 is 2500415.

It can be written as a sum of positive squares in 24 ways, for example, as 434133396544 + 79871803456 = 658888^2 + 282616^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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 47 ways as a sum of consecutive naturals, for example, 1829199860 + ... + 1829200140.

Almost surely, 2^514005200000 is an apocalyptic number.

514005200000 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 514005200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682539517800).

514005200000 is an abundant number, since it is smaller than the sum of its proper divisors (851073835600).

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

514005200000 is an equidigital number, since it uses as much as digits as its factorization.

514005200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

Adding to 514005200000 its reverse (2500415), we get a palindrome (514007700415).

The spelling of 514005200000 in words is "five hundred fourteen billion, five million, two hundred thousand".