2506346509 has 2 divisors, whose sum is σ = 2506346510. Its totient is φ = 2506346508.

The previous prime is 2506346477. The next prime is 2506346527. The reversal of 2506346509 is 9056436052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1422949284 + 1083397225 = 37722^2 + 32915^2 .

It is a cyclic number.

It is not a de Polignac number, because 2506346509 - 2⁵ = 2506346477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2506346569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1253173254 + 1253173255.

It is an arithmetic number, because the mean of its divisors is an integer number (1253173255).

Almost surely, 2^2506346509 is an apocalyptic number.

It is an amenable number.

2506346509 is a deficient number, since it is larger than the sum of its proper divisors (1).

2506346509 is an equidigital number, since it uses as much as digits as its factorization.

2506346509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 194400, while the sum is 40.

The square root of 2506346509 is about 50063.4248628677. The cubic root of 2506346509 is about 1358.3563095498.

The spelling of 2506346509 in words is "two billion, five hundred six million, three hundred forty-six thousand, five hundred nine".