506100000061 has 2 divisors, whose sum is σ = 506100000062. Its totient is φ = 506100000060.

The previous prime is 506100000047. The next prime is 506100000083. The reversal of 506100000061 is 160000001605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 295262911161 + 210837088900 = 543381^2 + 459170^2 .

It is a cyclic number.

It is not a de Polignac number, because 506100000061 - 2¹⁵ = 506099967293 is a prime.

It is a super-2 number, since 2×506100000061² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506099999984 and 506100000038.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506100000361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253050000030 + 253050000031.

It is an arithmetic number, because the mean of its divisors is an integer number (253050000031).

Almost surely, 2^506100000061 is an apocalyptic number.

It is an amenable number.

506100000061 is a deficient number, since it is larger than the sum of its proper divisors (1).

506100000061 is an equidigital number, since it uses as much as digits as its factorization.

506100000061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 506100000061 its reverse (160000001605), we get a palindrome (666100001666).

The spelling of 506100000061 in words is "five hundred six billion, one hundred million, sixty-one", and thus it is an aban number.