509607936001 has 4 divisors (see below), whose sum is σ = 509832534100. Its totient is φ = 509383337904.

The previous prime is 509607935929. The next prime is 509607936053. The reversal of 509607936001 is 100639706905.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 100639706905 = 5 ⋅20127941381.

It can be written as a sum of positive squares in 2 ways, for example, as 63051210000 + 446556726001 = 251100^2 + 668249^2 .

It is a cyclic number.

It is not a de Polignac number, because 509607936001 - 2⁷ = 509607935873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509607930001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 112295646 + ... + 112300183.

It is an arithmetic number, because the mean of its divisors is an integer number (127458133525).

It is a Proth number, since it is equal to 30375 ⋅ 2²⁴ + 1 and 30375 < 2²⁴.

Almost surely, 2^509607936001 is an apocalyptic number.

It is an amenable number.

509607936001 is a deficient number, since it is larger than the sum of its proper divisors (224598099).

509607936001 is a wasteful number, since it uses less digits than its factorization.

509607936001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224598098.

The product of its (nonzero) digits is 306180, while the sum is 46.

The spelling of 509607936001 in words is "five hundred nine billion, six hundred seven million, nine hundred thirty-six thousand, one".