2506005889 has 2 divisors, whose sum is σ = 2506005890. Its totient is φ = 2506005888.

The previous prime is 2506005881. The next prime is 2506005911. The reversal of 2506005889 is 9885006052.

2506005889 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1328967025 + 1177038864 = 36455^2 + 34308^2 .

It is a cyclic number.

It is not a de Polignac number, because 2506005889 - 2³ = 2506005881 is a prime.

It is not a weakly prime, because it can be changed into another prime (2506005881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1253002944 + 1253002945.

It is an arithmetic number, because the mean of its divisors is an integer number (1253002945).

Almost surely, 2^2506005889 is an apocalyptic number.

It is an amenable number.

2506005889 is a deficient number, since it is larger than the sum of its proper divisors (1).

2506005889 is an equidigital number, since it uses as much as digits as its factorization.

2506005889 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 172800, while the sum is 43.

The square root of 2506005889 is about 50060.0228625597. The cubic root of 2506005889 is about 1358.2947718646.

The spelling of 2506005889 in words is "two billion, five hundred six million, five thousand, eight hundred eighty-nine".