2610144096013 has 2 divisors, whose sum is σ = 2610144096014. Its totient is φ = 2610144096012.

The previous prime is 2610144096011. The next prime is 2610144096029. The reversal of 2610144096013 is 3106904410162.

2610144096013 = 1142397² + 1142398².

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1305073190404 + 1305070905609 = 1142398^2 + 1142397^2 .

It is a cyclic number.

It is not a de Polignac number, because 2610144096013 - 2¹ = 2610144096011 is a prime.

Together with 2610144096011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2610144096011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1305072048006 + 1305072048007.

It is an arithmetic number, because the mean of its divisors is an integer number (1305072048007).

Almost surely, 2^{2610144096013} is an apocalyptic number.

2610144096013 is the 1142398-th centered square number.

It is an amenable number.

2610144096013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2610144096013 is an equidigital number, since it uses as much as digits as its factorization.

2610144096013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 2610144096013 in words is "two trillion, six hundred ten billion, one hundred forty-four million, ninety-six thousand, thirteen".