2742524245313 has 2 divisors, whose sum is σ = 2742524245314. Its totient is φ = 2742524245312.

The previous prime is 2742524245207. The next prime is 2742524245339. The reversal of 2742524245313 is 3135424252472.

2742524245313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1454079045904 + 1288445199409 = 1205852^2 + 1135097^2 .

It is a cyclic number.

It is not a de Polignac number, because 2742524245313 - 2³⁶ = 2673804768577 is a prime.

It is a super-2 number, since 2×2742524245313² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2742524245343) 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, 1371262122656 + 1371262122657.

It is an arithmetic number, because the mean of its divisors is an integer number (1371262122657).

Almost surely, 2^{2742524245313} is an apocalyptic number.

It is an amenable number.

2742524245313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2742524245313 is an equidigital number, since it uses as much as digits as its factorization.

2742524245313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1612800, while the sum is 44.

Adding to 2742524245313 its reverse (3135424252472), we get a palindrome (5877948497785).

The spelling of 2742524245313 in words is "two trillion, seven hundred forty-two billion, five hundred twenty-four million, two hundred forty-five thousand, three hundred thirteen".