509655501256 has 96 divisors (see below), whose sum is σ = 1112581575000. Its totient is φ = 217952092160.

The previous prime is 509655501253. The next prime is 509655501319. The reversal of 509655501256 is 652105556905.

It can be written as a sum of positive squares in 4 ways, for example, as 314795056356 + 194860444900 = 561066^2 + 441430^2 .

It is not an unprimeable number, because it can be changed into a prime (509655501253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66626520 + ... + 66634168.

Almost surely, 2^509655501256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509655501256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556290787500).

509655501256 is an abundant number, since it is smaller than the sum of its proper divisors (602926073744).

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

509655501256 is a wasteful number, since it uses less digits than its factorization.

509655501256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11743 (or 11728 counting only the distinct ones).

The product of its (nonzero) digits is 2025000, while the sum is 49.

The spelling of 509655501256 in words is "five hundred nine billion, six hundred fifty-five million, five hundred one thousand, two hundred fifty-six".