506509437636 has 36 divisors (see below), whose sum is σ = 1280804606172. Its totient is φ = 168775647744.

The previous prime is 506509437619. The next prime is 506509437659. The reversal of 506509437636 is 636734905605.

It can be written as a sum of positive squares in 2 ways, for example, as 225815040000 + 280694397636 = 475200^2 + 529806^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2433285 + ... + 2633228.

It is an arithmetic number, because the mean of its divisors is an integer number (35577905727).

Almost surely, 2^506509437636 is an apocalyptic number.

It is an amenable number.

506509437636 is an abundant number, since it is smaller than the sum of its proper divisors (774295168536).

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

506509437636 is a wasteful number, since it uses less digits than its factorization.

506509437636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5069300 (or 5069295 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 506509437636 in words is "five hundred six billion, five hundred nine million, four hundred thirty-seven thousand, six hundred thirty-six".