2551509959 has 2 divisors, whose sum is σ = 2551509960. Its totient is φ = 2551509958.

The previous prime is 2551509913. The next prime is 2551509977. The reversal of 2551509959 is 9599051552.

2551509959 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 is a cyclic number.

It is not a de Polignac number, because 2551509959 - 2²⁴ = 2534732743 is a prime.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2551509979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1275754979 + 1275754980.

It is an arithmetic number, because the mean of its divisors is an integer number (1275754980).

Almost surely, 2^2551509959 is an apocalyptic number.

2551509959 is a deficient number, since it is larger than the sum of its proper divisors (1).

2551509959 is an equidigital number, since it uses as much as digits as its factorization.

2551509959 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 911250, while the sum is 50.

The square root of 2551509959 is about 50512.4733011560. The cubic root of 2551509959 is about 1366.4668152012.

The spelling of 2551509959 in words is "two billion, five hundred fifty-one million, five hundred nine thousand, nine hundred fifty-nine".