2511256513 has 2 divisors, whose sum is σ = 2511256514. Its totient is φ = 2511256512.

The previous prime is 2511256499. The next prime is 2511256567. The reversal of 2511256513 is 3156521152.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2029322304 + 481934209 = 45048^2 + 21953^2 .

It is a cyclic number.

It is not a de Polignac number, because 2511256513 - 2⁵ = 2511256481 is a prime.

It is not a weakly prime, because it can be changed into another prime (2511256213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1255628256 + 1255628257.

It is an arithmetic number, because the mean of its divisors is an integer number (1255628257).

Almost surely, 2^2511256513 is an apocalyptic number.

It is an amenable number.

2511256513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2511256513 is an equidigital number, since it uses as much as digits as its factorization.

2511256513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9000, while the sum is 31.

The square root of 2511256513 is about 50112.4387053753. The cubic root of 2511256513 is about 1359.2427504781.

Adding to 2511256513 its reverse (3156521152), we get a palindrome (5667777665).

The spelling of 2511256513 in words is "two billion, five hundred eleven million, two hundred fifty-six thousand, five hundred thirteen".