10904589561601 has 2 divisors, whose sum is σ = 10904589561602. Its totient is φ = 10904589561600.

The previous prime is 10904589561553. The next prime is 10904589561643. The reversal of 10904589561601 is 10616598540901.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5701354838001 + 5203234723600 = 2387751^2 + 2281060^2 .

It is a cyclic number.

It is not a de Polignac number, because 10904589561601 - 2²³ = 10904581172993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10904589561301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5452294780800 + 5452294780801.

It is an arithmetic number, because the mean of its divisors is an integer number (5452294780801).

Almost surely, 2^{10904589561601} is an apocalyptic number.

It is an amenable number.

10904589561601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10904589561601 is an equidigital number, since it uses as much as digits as its factorization.

10904589561601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2332800, while the sum is 55.

The spelling of 10904589561601 in words is "ten trillion, nine hundred four billion, five hundred eighty-nine million, five hundred sixty-one thousand, six hundred one".