3625611656617 has 2 divisors, whose sum is σ = 3625611656618. Its totient is φ = 3625611656616.

The previous prime is 3625611656587. The next prime is 3625611656627. The reversal of 3625611656617 is 7166561165263.

3625611656617 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2945441980441 + 680169676176 = 1716229^2 + 824724^2 .

It is a cyclic number.

It is not a de Polignac number, because 3625611656617 - 2¹⁵ = 3625611623849 is a prime.

It is not a weakly prime, because it can be changed into another prime (3625611656627) 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, 1812805828308 + 1812805828309.

It is an arithmetic number, because the mean of its divisors is an integer number (1812805828309).

Almost surely, 2^{3625611656617} is an apocalyptic number.

It is an amenable number.

3625611656617 is a deficient number, since it is larger than the sum of its proper divisors (1).

3625611656617 is an equidigital number, since it uses as much as digits as its factorization.

3625611656617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8164800, while the sum is 55.

The spelling of 3625611656617 in words is "three trillion, six hundred twenty-five billion, six hundred eleven million, six hundred fifty-six thousand, six hundred seventeen".