10017854627489 has 2 divisors, whose sum is σ = 10017854627490. Its totient is φ = 10017854627488.

The previous prime is 10017854627477. The next prime is 10017854627531. The reversal of 10017854627489 is 98472645871001.

10017854627489 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7781059197025 + 2236795430464 = 2789455^2 + 1495592^2 .

It is a cyclic number.

It is not a de Polignac number, because 10017854627489 - 2³² = 10013559660193 is a prime.

It is a super-2 number, since 2×10017854627489² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10017854627089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5008927313744 + 5008927313745.

It is an arithmetic number, because the mean of its divisors is an integer number (5008927313745).

Almost surely, 2^{10017854627489} is an apocalyptic number.

It is an amenable number.

10017854627489 is a deficient number, since it is larger than the sum of its proper divisors (1).

10017854627489 is an equidigital number, since it uses as much as digits as its factorization.

10017854627489 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27095040, while the sum is 62.

The spelling of 10017854627489 in words is "ten trillion, seventeen billion, eight hundred fifty-four million, six hundred twenty-seven thousand, four hundred eighty-nine".