6601625561873 has 2 divisors, whose sum is σ = 6601625561874. Its totient is φ = 6601625561872.

The previous prime is 6601625561857. The next prime is 6601625562097. The reversal of 6601625561873 is 3781655261066.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6502234802704 + 99390759169 = 2549948^2 + 315263^2 .

It is a cyclic number.

It is not a de Polignac number, because 6601625561873 - 2⁴ = 6601625561857 is a prime.

It is not a weakly prime, because it can be changed into another prime (6601625561813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3300812780936 + 3300812780937.

It is an arithmetic number, because the mean of its divisors is an integer number (3300812780937).

Almost surely, 2^{6601625561873} is an apocalyptic number.

It is an amenable number.

6601625561873 is a deficient number, since it is larger than the sum of its proper divisors (1).

6601625561873 is an equidigital number, since it uses as much as digits as its factorization.

6601625561873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10886400, while the sum is 56.

The spelling of 6601625561873 in words is "six trillion, six hundred one billion, six hundred twenty-five million, five hundred sixty-one thousand, eight hundred seventy-three".