6006100600561 has 2 divisors, whose sum is σ = 6006100600562. Its totient is φ = 6006100600560.

The previous prime is 6006100600531. The next prime is 6006100600567. The reversal of 6006100600561 is 1650060016006.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3776959033600 + 2229141566961 = 1943440^2 + 1493031^2 .

It is a cyclic number.

It is not a de Polignac number, because 6006100600561 - 2¹⁵ = 6006100567793 is a prime.

It is not a weakly prime, because it can be changed into another prime (6006100600567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3003050300280 + 3003050300281.

It is an arithmetic number, because the mean of its divisors is an integer number (3003050300281).

Almost surely, 2^{6006100600561} is an apocalyptic number.

It is an amenable number.

6006100600561 is a deficient number, since it is larger than the sum of its proper divisors (1).

6006100600561 is an equidigital number, since it uses as much as digits as its factorization.

6006100600561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 31.

Adding to 6006100600561 its reverse (1650060016006), we get a palindrome (7656160616567).

The spelling of 6006100600561 in words is "six trillion, six billion, one hundred million, six hundred thousand, five hundred sixty-one".