2551000513 has 2 divisors, whose sum is σ = 2551000514. Its totient is φ = 2551000512.

The previous prime is 2551000511. The next prime is 2551000547. The reversal of 2551000513 is 3150001552.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1956469824 + 594530689 = 44232^2 + 24383^2 .

It is a cyclic number.

It is not a de Polignac number, because 2551000513 - 2¹ = 2551000511 is a prime.

Together with 2551000511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2551000511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1275500256 + 1275500257.

It is an arithmetic number, because the mean of its divisors is an integer number (1275500257).

Almost surely, 2^2551000513 is an apocalyptic number.

It is an amenable number.

2551000513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2551000513 is an equidigital number, since it uses as much as digits as its factorization.

2551000513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 2551000513 is about 50507.4302751585. The cubic root of 2551000513 is about 1366.3758641695.

The spelling of 2551000513 in words is "two billion, five hundred fifty-one million, five hundred thirteen", and thus it is an aban number.