500120763717601 has 32 divisors (see below), whose sum is σ = 572255758720800. Its totient is φ = 433658751160320.

The previous prime is 500120763717557. The next prime is 500120763717683. The reversal of 500120763717601 is 106717367021005.

It can be written as a sum of positive squares in 16 ways, for example, as 83152531677601 + 416968232040000 = 9118801^2 + 20419800^2 .

It is a cyclic number.

It is not a de Polignac number, because 500120763717601 - 2⁹ = 500120763717089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (500120763717401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238726441 + ... + 240812281.

It is an arithmetic number, because the mean of its divisors is an integer number (17882992460025).

Almost surely, 2^{500120763717601} is an apocalyptic number.

It is an amenable number.

500120763717601 is a deficient number, since it is larger than the sum of its proper divisors (72134995003199).

500120763717601 is a wasteful number, since it uses less digits than its factorization.

500120763717601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103109.

The product of its (nonzero) digits is 370440, while the sum is 46.

The spelling of 500120763717601 in words is "five hundred trillion, one hundred twenty billion, seven hundred sixty-three million, seven hundred seventeen thousand, six hundred one".