2506758509 has 2 divisors, whose sum is σ = 2506758510. Its totient is φ = 2506758508.

The previous prime is 2506758497. The next prime is 2506758517. The reversal of 2506758509 is 9058576052.

2506758509 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., 2485321609 + 21436900 = 49853^2 + 4630^2 .

It is a cyclic number.

It is not a de Polignac number, because 2506758509 - 2⁴ = 2506758493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2506758539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1253379254 + 1253379255.

It is an arithmetic number, because the mean of its divisors is an integer number (1253379255).

Almost surely, 2^2506758509 is an apocalyptic number.

It is an amenable number.

2506758509 is a deficient number, since it is larger than the sum of its proper divisors (1).

2506758509 is an equidigital number, since it uses as much as digits as its factorization.

2506758509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756000, while the sum is 47.

The square root of 2506758509 is about 50067.5394741943. The cubic root of 2506758509 is about 1358.4307355633.

The spelling of 2506758509 in words is "two billion, five hundred six million, seven hundred fifty-eight thousand, five hundred nine".