2511748993541 has 2 divisors, whose sum is σ = 2511748993542. Its totient is φ = 2511748993540.

The previous prime is 2511748993393. The next prime is 2511748993543. The reversal of 2511748993541 is 1453998471152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1575160542916 + 936588450625 = 1255054^2 + 967775^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2511748993541 is a prime.

Together with 2511748993543, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2511748993543) 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, 1255874496770 + 1255874496771.

It is an arithmetic number, because the mean of its divisors is an integer number (1255874496771).

Almost surely, 2^{2511748993541} is an apocalyptic number.

It is an amenable number.

2511748993541 is a deficient number, since it is larger than the sum of its proper divisors (1).

2511748993541 is an equidigital number, since it uses as much as digits as its factorization.

2511748993541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10886400, while the sum is 59.

The spelling of 2511748993541 in words is "two trillion, five hundred eleven billion, seven hundred forty-eight million, nine hundred ninety-three thousand, five hundred forty-one".