2510513 has 2 divisors, whose sum is σ = 2510514. Its totient is φ = 2510512.

The previous prime is 2510507. The next prime is 2510531. The reversal of 2510513 is 3150152.

2510513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (2510531) 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., 2505889 + 4624 = 1583^2 + 68^2 .

It is a cyclic number.

It is not a de Polignac number, because 2510513 - 2⁶ = 2510449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2510491 and 2510500.

It is not a weakly prime, because it can be changed into another prime (2510503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1255256 + 1255257.

It is an arithmetic number, because the mean of its divisors is an integer number (1255257).

2^2510513 is an apocalyptic number.

It is an amenable number.

2510513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2510513 is an equidigital number, since it uses as much as digits as its factorization.

2510513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 2510513 is about 1584.4598448683. The cubic root of 2510513 is about 135.9108592617.

Adding to 2510513 its reverse (3150152), we get a palindrome (5660665).

The spelling of 2510513 in words is "two million, five hundred ten thousand, five hundred thirteen".