5787892117001 has 2 divisors, whose sum is σ = 5787892117002. Its totient is φ = 5787892117000.

The previous prime is 5787892116991. The next prime is 5787892117003. The reversal of 5787892117001 is 1007112987875.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3076337094601 + 2711555022400 = 1753949^2 + 1646680^2 .

It is a cyclic number.

It is not a de Polignac number, because 5787892117001 - 2¹⁰ = 5787892115977 is a prime.

Together with 5787892117003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (5787892117003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2893946058500 + 2893946058501.

It is an arithmetic number, because the mean of its divisors is an integer number (2893946058501).

Almost surely, 2^{5787892117001} is an apocalyptic number.

It is an amenable number.

5787892117001 is a deficient number, since it is larger than the sum of its proper divisors (1).

5787892117001 is an equidigital number, since it uses as much as digits as its factorization.

5787892117001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1975680, while the sum is 56.

The spelling of 5787892117001 in words is "five trillion, seven hundred eighty-seven billion, eight hundred ninety-two million, one hundred seventeen thousand, one".