2676681625601 has 2 divisors, whose sum is σ = 2676681625602. Its totient is φ = 2676681625600.

The previous prime is 2676681625543. The next prime is 2676681625619. The reversal of 2676681625601 is 1065261866762.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2368074711025 + 308606914576 = 1538855^2 + 555524^2 .

It is a cyclic number.

It is not a de Polignac number, because 2676681625601 - 2⁶ = 2676681625537 is a prime.

It is a super-2 number, since 2×2676681625601² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2676681625691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1338340812800 + 1338340812801.

It is an arithmetic number, because the mean of its divisors is an integer number (1338340812801).

Almost surely, 2^{2676681625601} is an apocalyptic number.

It is an amenable number.

2676681625601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2676681625601 is an equidigital number, since it uses as much as digits as its factorization.

2676681625601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8709120, while the sum is 56.

The spelling of 2676681625601 in words is "two trillion, six hundred seventy-six billion, six hundred eighty-one million, six hundred twenty-five thousand, six hundred one".