5005600600061 has 2 divisors, whose sum is σ = 5005600600062. Its totient is φ = 5005600600060.

The previous prime is 5005600600043. The next prime is 5005600600067. The reversal of 5005600600061 is 1600060065005.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2661351763225 + 2344248836836 = 1631365^2 + 1531094^2 .

It is a cyclic number.

It is not a de Polignac number, because 5005600600061 - 2¹⁴ = 5005600583677 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5005600599997 and 5005600600033.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5005600600067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2502800300030 + 2502800300031.

It is an arithmetic number, because the mean of its divisors is an integer number (2502800300031).

Almost surely, 2^{5005600600061} is an apocalyptic number.

It is an amenable number.

5005600600061 is a deficient number, since it is larger than the sum of its proper divisors (1).

5005600600061 is an equidigital number, since it uses as much as digits as its factorization.

5005600600061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5400, while the sum is 29.

Adding to 5005600600061 its reverse (1600060065005), we get a palindrome (6605660665066).

The spelling of 5005600600061 in words is "five trillion, five billion, six hundred million, six hundred thousand, sixty-one".