506106006001 has 2 divisors, whose sum is σ = 506106006002. Its totient is φ = 506106006000.

The previous prime is 506106005969. The next prime is 506106006019. The reversal of 506106006001 is 100600601605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 373009455025 + 133096550976 = 610745^2 + 364824^2 .

It is a cyclic number.

It is not a de Polignac number, because 506106006001 - 2⁵ = 506106005969 is a prime.

It is a super-2 number, since 2×506106006001² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (506106106001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253053003000 + 253053003001.

It is an arithmetic number, because the mean of its divisors is an integer number (253053003001).

Almost surely, 2^506106006001 is an apocalyptic number.

It is an amenable number.

506106006001 is a deficient number, since it is larger than the sum of its proper divisors (1).

506106006001 is an equidigital number, since it uses as much as digits as its factorization.

506106006001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 506106006001 its reverse (100600601605), we get a palindrome (606706607606).

The spelling of 506106006001 in words is "five hundred six billion, one hundred six million, six thousand, one".