288057546113 has 2 divisors, whose sum is σ = 288057546114. Its totient is φ = 288057546112.

The previous prime is 288057546089. The next prime is 288057546121. The reversal of 288057546113 is 311645750882.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189544424689 + 98513121424 = 435367^2 + 313868^2 .

It is a cyclic number.

It is not a de Polignac number, because 288057546113 - 2³⁴ = 270877676929 is a prime.

It is not a weakly prime, because it can be changed into another prime (288057546713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144028773056 + 144028773057.

It is an arithmetic number, because the mean of its divisors is an integer number (144028773057).

Almost surely, 2^288057546113 is an apocalyptic number.

It is an amenable number.

288057546113 is a deficient number, since it is larger than the sum of its proper divisors (1).

288057546113 is an equidigital number, since it uses as much as digits as its factorization.

288057546113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1612800, while the sum is 50.

The spelling of 288057546113 in words is "two hundred eighty-eight billion, fifty-seven million, five hundred forty-six thousand, one hundred thirteen".