1288848506657 has 2 divisors, whose sum is σ = 1288848506658. Its totient is φ = 1288848506656.

The previous prime is 1288848506633. The next prime is 1288848506677. The reversal of 1288848506657 is 7566058488821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1081924504336 + 206924002321 = 1040156^2 + 454889^2 .

It is a cyclic number.

It is not a de Polignac number, because 1288848506657 - 2³⁰ = 1287774764833 is a prime.

It is a super-2 number, since 2×1288848506657² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1288848506677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 644424253328 + 644424253329.

It is an arithmetic number, because the mean of its divisors is an integer number (644424253329).

Almost surely, 2^{1288848506657} is an apocalyptic number.

It is an amenable number.

1288848506657 is a deficient number, since it is larger than the sum of its proper divisors (1).

1288848506657 is an equidigital number, since it uses as much as digits as its factorization.

1288848506657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 206438400, while the sum is 68.

The spelling of 1288848506657 in words is "one trillion, two hundred eighty-eight billion, eight hundred forty-eight million, five hundred six thousand, six hundred fifty-seven".