2589125813 has 2 divisors, whose sum is σ = 2589125814. Its totient is φ = 2589125812.

The previous prime is 2589125783. The next prime is 2589125827. The reversal of 2589125813 is 3185219852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2306112484 + 283013329 = 48022^2 + 16823^2 .

It is a cyclic number.

It is not a de Polignac number, because 2589125813 - 2⁸ = 2589125557 is a prime.

It is a super-3 number, since 3×2589125813³ (a number of 29 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2589125213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1294562906 + 1294562907.

It is an arithmetic number, because the mean of its divisors is an integer number (1294562907).

Almost surely, 2^2589125813 is an apocalyptic number.

It is an amenable number.

2589125813 is a deficient number, since it is larger than the sum of its proper divisors (1).

2589125813 is an equidigital number, since it uses as much as digits as its factorization.

2589125813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 172800, while the sum is 44.

The square root of 2589125813 is about 50883.4532338362. The cubic root of 2589125813 is about 1373.1491682787.

The spelling of 2589125813 in words is "two billion, five hundred eighty-nine million, one hundred twenty-five thousand, eight hundred thirteen".