506351161601 has 16 divisors (see below), whose sum is σ = 512517734400. Its totient is φ = 500224150800.

The previous prime is 506351161577. The next prime is 506351161627. The reversal of 506351161601 is 106161153605.

It is not a de Polignac number, because 506351161601 - 2¹⁴ = 506351145217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506351161301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107663216 + ... + 107667918.

It is an arithmetic number, because the mean of its divisors is an integer number (32032358400).

Almost surely, 2^506351161601 is an apocalyptic number.

It is an amenable number.

506351161601 is a deficient number, since it is larger than the sum of its proper divisors (6166572799).

506351161601 is a wasteful number, since it uses less digits than its factorization.

506351161601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8636.

The product of its (nonzero) digits is 16200, while the sum is 35.

The spelling of 506351161601 in words is "five hundred six billion, three hundred fifty-one million, one hundred sixty-one thousand, six hundred one".