900111011093617 has 2 divisors, whose sum is σ = 900111011093618. Its totient is φ = 900111011093616.

The previous prime is 900111011093557. The next prime is 900111011093641. The reversal of 900111011093617 is 716390110111009.

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., 570496855525776 + 329614155567841 = 23885076^2 + 18155279^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-900111011093617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 900111011093617.

It is not a weakly prime, because it can be changed into another prime (900111011033617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450055505546808 + 450055505546809.

It is an arithmetic number, because the mean of its divisors is an integer number (450055505546809).

Almost surely, 2^{900111011093617} is an apocalyptic number.

It is an amenable number.

900111011093617 is a deficient number, since it is larger than the sum of its proper divisors (1).

900111011093617 is an equidigital number, since it uses as much as digits as its factorization.

900111011093617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10206, while the sum is 40.

The spelling of 900111011093617 in words is "nine hundred trillion, one hundred eleven billion, eleven million, ninety-three thousand, six hundred seventeen".