2589249217 has 2 divisors, whose sum is σ = 2589249218. Its totient is φ = 2589249216.

The previous prime is 2589249211. The next prime is 2589249259. The reversal of 2589249217 is 7129429852.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2545807936 + 43441281 = 50456^2 + 6591^2 .

It is a cyclic number.

It is not a de Polignac number, because 2589249217 - 2¹⁵ = 2589216449 is a prime.

It is a super-2 number, since 2×2589249217² = 13408423015470226178, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2589249211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1294624608 + 1294624609.

It is an arithmetic number, because the mean of its divisors is an integer number (1294624609).

Almost surely, 2^2589249217 is an apocalyptic number.

It is an amenable number.

2589249217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2589249217 is an equidigital number, since it uses as much as digits as its factorization.

2589249217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 725760, while the sum is 49.

The square root of 2589249217 is about 50884.6658336281. The cubic root of 2589249217 is about 1373.1709838025.

The spelling of 2589249217 in words is "two billion, five hundred eighty-nine million, two hundred forty-nine thousand, two hundred seventeen".