288999999999961 has 2 divisors, whose sum is σ = 288999999999962. Its totient is φ = 288999999999960.

The previous prime is 288999999999871. The next prime is 289000000000027. The reversal of 288999999999961 is 169999999999882.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 254225166913600 + 34774833086361 = 15944440^2 + 5897019^2 .

It is a cyclic number.

It is not a de Polignac number, because 288999999999961 - 2⁷ = 288999999999833 is a prime.

It is not a weakly prime, because it can be changed into another prime (288999999993961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144499999999980 + 144499999999981.

It is an arithmetic number, because the mean of its divisors is an integer number (144499999999981).

Almost surely, 2^{288999999999961} is an apocalyptic number.

It is an amenable number.

288999999999961 is a deficient number, since it is larger than the sum of its proper divisors (1).

288999999999961 is an equidigital number, since it uses as much as digits as its factorization.

288999999999961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2677850419968, while the sum is 115.

The spelling of 288999999999961 in words is "two hundred eighty-eight trillion, nine hundred ninety-nine billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred sixty-one".