509632113663 has 16 divisors (see below), whose sum is σ = 765353151840. Its totient is φ = 335100566592.

The previous prime is 509632113649. The next prime is 509632113677. The reversal of 509632113663 is 366311236905.

509632113663 is a `hidden beast` number, since 5 + 0 + 9 + 632 + 1 + 1 + 3 + 6 + 6 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (509632113649) and next prime (509632113677).

It is not a de Polignac number, because 509632113663 - 2⁴ = 509632113647 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509632113763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129280656 + ... + 129284597.

It is an arithmetic number, because the mean of its divisors is an integer number (47834571990).

Almost surely, 2^509632113663 is an apocalyptic number.

509632113663 is a deficient number, since it is larger than the sum of its proper divisors (255721038177).

509632113663 is a wasteful number, since it uses less digits than its factorization.

509632113663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258565335 (or 258565329 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 509632113663 in words is "five hundred nine billion, six hundred thirty-two million, one hundred thirteen thousand, six hundred sixty-three".