2553400513 has 2 divisors, whose sum is σ = 2553400514. Its totient is φ = 2553400512.

The previous prime is 2553400511. The next prime is 2553400523. The reversal of 2553400513 is 3150043552.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2459465649 + 93934864 = 49593^2 + 9692^2 .

It is a cyclic number.

It is not a de Polignac number, because 2553400513 - 2¹ = 2553400511 is a prime.

Together with 2553400511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2553400511) 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, 1276700256 + 1276700257.

It is an arithmetic number, because the mean of its divisors is an integer number (1276700257).

Almost surely, 2^2553400513 is an apocalyptic number.

It is an amenable number.

2553400513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2553400513 is an equidigital number, since it uses as much as digits as its factorization.

2553400513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 2553400513 is about 50531.1835701480. The cubic root of 2553400513 is about 1366.8042286742.

The spelling of 2553400513 in words is "two billion, five hundred fifty-three million, four hundred thousand, five hundred thirteen".