506100010609 has 2 divisors, whose sum is σ = 506100010610. Its totient is φ = 506100010608.

The previous prime is 506100010589. The next prime is 506100010613. The reversal of 506100010609 is 906010001605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 393972139584 + 112127871025 = 627672^2 + 334855^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-506100010609 is a prime.

It is a super-2 number, since 2×506100010609² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (506100010649) 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, 253050005304 + 253050005305.

It is an arithmetic number, because the mean of its divisors is an integer number (253050005305).

Almost surely, 2^506100010609 is an apocalyptic number.

It is an amenable number.

506100010609 is a deficient number, since it is larger than the sum of its proper divisors (1).

506100010609 is an equidigital number, since it uses as much as digits as its factorization.

506100010609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 28.

The spelling of 506100010609 in words is "five hundred six billion, one hundred million, ten thousand, six hundred nine".