2540332213313 has 2 divisors, whose sum is σ = 2540332213314. Its totient is φ = 2540332213312.

The previous prime is 2540332213301. The next prime is 2540332213409. The reversal of 2540332213313 is 3133122330452.

It is a happy number.

2540332213313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1858292428864 + 682039784449 = 1363192^2 + 825857^2 .

It is a cyclic number.

It is not a de Polignac number, because 2540332213313 - 2⁴ = 2540332213297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2540332213313.

It is not a weakly prime, because it can be changed into another prime (2540332216313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270166106656 + 1270166106657.

It is an arithmetic number, because the mean of its divisors is an integer number (1270166106657).

Almost surely, 2^{2540332213313} is an apocalyptic number.

It is an amenable number.

2540332213313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2540332213313 is an equidigital number, since it uses as much as digits as its factorization.

2540332213313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 32.

Adding to 2540332213313 its reverse (3133122330452), we get a palindrome (5673454543765).

The spelling of 2540332213313 in words is "two trillion, five hundred forty billion, three hundred thirty-two million, two hundred thirteen thousand, three hundred thirteen".