6577120000001 has 2 divisors, whose sum is σ = 6577120000002. Its totient is φ = 6577120000000.

The previous prime is 6577119999977. The next prime is 6577120000027. The reversal of 6577120000001 is 1000000217756.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4272261633025 + 2304858366976 = 2066945^2 + 1518176^2 .

It is a cyclic number.

It is not a de Polignac number, because 6577120000001 - 2¹⁸ = 6577119737857 is a prime.

It is not a weakly prime, because it can be changed into another prime (6577120000081) 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, 3288560000000 + 3288560000001.

It is an arithmetic number, because the mean of its divisors is an integer number (3288560000001).

Almost surely, 2^{6577120000001} is an apocalyptic number.

It is an amenable number.

6577120000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

6577120000001 is an equidigital number, since it uses as much as digits as its factorization.

6577120000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2940, while the sum is 29.

Adding to 6577120000001 its reverse (1000000217756), we get a palindrome (7577120217757).

The spelling of 6577120000001 in words is "six trillion, five hundred seventy-seven billion, one hundred twenty million, one", and thus it is an aban number.