2513961844553 has 2 divisors, whose sum is σ = 2513961844554. Its totient is φ = 2513961844552.

The previous prime is 2513961844531. The next prime is 2513961844571. The reversal of 2513961844553 is 3554481693152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2481422014009 + 32539830544 = 1575253^2 + 180388^2 .

It is a cyclic number.

It is not a de Polignac number, because 2513961844553 - 2²⁰ = 2513960795977 is a prime.

It is not a weakly prime, because it can be changed into another prime (2513961844853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1256980922276 + 1256980922277.

It is an arithmetic number, because the mean of its divisors is an integer number (1256980922277).

Almost surely, 2^{2513961844553} is an apocalyptic number.

It is an amenable number.

2513961844553 is a deficient number, since it is larger than the sum of its proper divisors (1).

2513961844553 is an equidigital number, since it uses as much as digits as its factorization.

2513961844553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552000, while the sum is 56.

The spelling of 2513961844553 in words is "two trillion, five hundred thirteen billion, nine hundred sixty-one million, eight hundred forty-four thousand, five hundred fifty-three".