2551509997 has 2 divisors, whose sum is σ = 2551509998. Its totient is φ = 2551509996.

The previous prime is 2551509979. The next prime is 2551510021. The reversal of 2551509997 is 7999051552.

Together with previous prime (2551509979) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2525967081 + 25542916 = 50259^2 + 5054^2 .

It is a cyclic number.

It is not a de Polignac number, because 2551509997 - 2¹⁹ = 2550985709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2551509977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1275754998 + 1275754999.

It is an arithmetic number, because the mean of its divisors is an integer number (1275754999).

Almost surely, 2^2551509997 is an apocalyptic number.

It is an amenable number.

2551509997 is a deficient number, since it is larger than the sum of its proper divisors (1).

2551509997 is an equidigital number, since it uses as much as digits as its factorization.

2551509997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1275750, while the sum is 52.

The square root of 2551509997 is about 50512.4736773007. The cubic root of 2551509997 is about 1366.4668219849.

The spelling of 2551509997 in words is "two billion, five hundred fifty-one million, five hundred nine thousand, nine hundred ninety-seven".