506006101051 has 16 divisors (see below), whose sum is σ = 555404532480. Its totient is φ = 457174902880.

The previous prime is 506006101033. The next prime is 506006101057. The reversal of 506006101051 is 150101600605.

It is a cyclic number.

It is not a de Polignac number, because 506006101051 - 2¹¹ = 506006099003 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506006101057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13039860 + ... + 13078606.

It is an arithmetic number, because the mean of its divisors is an integer number (34712783280).

Almost surely, 2^506006101051 is an apocalyptic number.

506006101051 is a deficient number, since it is larger than the sum of its proper divisors (49398431429).

506006101051 is a wasteful number, since it uses less digits than its factorization.

506006101051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46034.

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 506006101051 its reverse (150101600605), we get a palindrome (656107701656).

The spelling of 506006101051 in words is "five hundred six billion, six million, one hundred one thousand, fifty-one".