1258868634017 has 2 divisors, whose sum is σ = 1258868634018. Its totient is φ = 1258868634016.

The previous prime is 1258868633917. The next prime is 1258868634053. The reversal of 1258868634017 is 7104368688521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1125383627281 + 133485006736 = 1060841^2 + 365356^2 .

It is a cyclic number.

It is not a de Polignac number, because 1258868634017 - 2⁸ = 1258868633761 is a prime.

It is not a weakly prime, because it can be changed into another prime (1258868630017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 629434317008 + 629434317009.

It is an arithmetic number, because the mean of its divisors is an integer number (629434317009).

Almost surely, 2^{1258868634017} is an apocalyptic number.

It is an amenable number.

1258868634017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1258868634017 is an equidigital number, since it uses as much as digits as its factorization.

1258868634017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15482880, while the sum is 59.

The spelling of 1258868634017 in words is "one trillion, two hundred fifty-eight billion, eight hundred sixty-eight million, six hundred thirty-four thousand, seventeen".