530306807530000 has 200 divisors, whose sum is σ = 1373465859480792. Its totient is φ = 197586714624000.

The previous prime is 530306807529823. The next prime is 530306807530001. The reversal of 530306807530000 is 35708603035.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 530304995835904 + 1811694096 = 23028352^2 + 42564^2 .

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

It is a super-3 number, since 3×530306807530000³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (530306807530001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 410352 + ... + 32569648.

Almost surely, 2^{530306807530000} is an apocalyptic number.

530306807530000 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 530306807530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686732929740396).

530306807530000 is an abundant number, since it is smaller than the sum of its proper divisors (843159051950792).

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

530306807530000 is a wasteful number, since it uses less digits than its factorization.

530306807530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32159439 (or 32159418 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 40.

The spelling of 530306807530000 in words is "five hundred thirty trillion, three hundred six billion, eight hundred seven million, five hundred thirty thousand".