7584970117217 has 2 divisors, whose sum is σ = 7584970117218. Its totient is φ = 7584970117216.

The previous prime is 7584970117211. The next prime is 7584970117409. The reversal of 7584970117217 is 7127110794857.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5022278209936 + 2562691907281 = 2241044^2 + 1600841^2 .

It is a cyclic number.

It is not a de Polignac number, because 7584970117217 - 2¹⁴ = 7584970100833 is a prime.

It is not a weakly prime, because it can be changed into another prime (7584970117211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3792485058608 + 3792485058609.

It is an arithmetic number, because the mean of its divisors is an integer number (3792485058609).

Almost surely, 2^{7584970117217} is an apocalyptic number.

It is an amenable number.

7584970117217 is a deficient number, since it is larger than the sum of its proper divisors (1).

7584970117217 is an equidigital number, since it uses as much as digits as its factorization.

7584970117217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6914880, while the sum is 59.

The spelling of 7584970117217 in words is "seven trillion, five hundred eighty-four billion, nine hundred seventy million, one hundred seventeen thousand, two hundred seventeen".