506110006101 has 8 divisors (see below), whose sum is σ = 771215247424. Its totient is φ = 289205717760.

The previous prime is 506110006097. The next prime is 506110006151. The reversal of 506110006101 is 101600011605.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 506110006101 - 2² = 506110006097 is a prime.

It is a super-2 number, since 2×506110006101² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 24100476481 = 506110006101 / (5 + 0 + 6 + 1 + 1 + 0 + 0 + 0 + 6 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506110006151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12050238220 + ... + 12050238261.

It is an arithmetic number, because the mean of its divisors is an integer number (96401905928).

Almost surely, 2^506110006101 is an apocalyptic number.

It is an amenable number.

506110006101 is a deficient number, since it is larger than the sum of its proper divisors (265105241323).

506110006101 is a wasteful number, since it uses less digits than its factorization.

506110006101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24100476491.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 506110006101 its reverse (101600011605), we get a palindrome (607710017706).

The spelling of 506110006101 in words is "five hundred six billion, one hundred ten million, six thousand, one hundred one".