2589631921 has 2 divisors, whose sum is σ = 2589631922. Its totient is φ = 2589631920.

The previous prime is 2589631853. The next prime is 2589631987. The reversal of 2589631921 is 1291369852.

2589631921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1367150625 + 1222481296 = 36975^2 + 34964^2 .

It is a cyclic number.

It is not a de Polignac number, because 2589631921 - 2²¹ = 2587534769 is a prime.

It is not a weakly prime, because it can be changed into another prime (2589631621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1294815960 + 1294815961.

It is an arithmetic number, because the mean of its divisors is an integer number (1294815961).

Almost surely, 2^2589631921 is an apocalyptic number.

It is an amenable number.

2589631921 is a deficient number, since it is larger than the sum of its proper divisors (1).

2589631921 is an equidigital number, since it uses as much as digits as its factorization.

2589631921 is an evil number, because the sum of its binary digits is even.

The product of its digits is 233280, while the sum is 46.

The square root of 2589631921 is about 50888.4261988912. The cubic root of 2589631921 is about 1373.2386343188.

The spelling of 2589631921 in words is "two billion, five hundred eighty-nine million, six hundred thirty-one thousand, nine hundred twenty-one".