509796000000 has 1701 divisors, whose sum is σ = 2270397833067. Its totient is φ = 109670400000.

The previous prime is 509795999987. The next prime is 509796000001. The reversal of 509796000000 is 697905.

The square root of 509796000000 is 714000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 501196034304 + 8599965696 = 707952^2 + 92736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (509796000001) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 29987999992 + ... + 29988000008.

Almost surely, 2^509796000000 is an apocalyptic number.

509796000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

509796000000 is the 714000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509796000000

509796000000 is an abundant number, since it is smaller than the sum of its proper divisors (1760601833067).

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

509796000000 is an frugal number, since it uses more digits than its factorization.

509796000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

Multiplying 509796000000 by its sum of digits (36), we get a square (18352656000000 = 4284000²).

509796000000 divided by its sum of digits (36) gives a square (14161000000 = 119000²).

Adding to 509796000000 its reverse (697905), we get a palindrome (509796697905).

The spelling of 509796000000 in words is "five hundred nine billion, seven hundred ninety-six million", and thus it is an aban number.