2760013 has 2 divisors, whose sum is σ = 2760014. Its totient is φ = 2760012.

The previous prime is 2759971. The next prime is 2760019. The reversal of 2760013 is 3100672.

2760013 is digitally balanced in base 2, 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., 1844164 + 915849 = 1358^2 + 957^2 .

It is a cyclic number.

It is not a de Polignac number, because 2760013 - 2¹³ = 2751821 is a prime.

It is equal to p₂₀₀₆₆₅ and since 2760013 and 200665 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2760019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1380006 + 1380007.

It is an arithmetic number, because the mean of its divisors is an integer number (1380007).

2^2760013 is an apocalyptic number.

It is an amenable number.

2760013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2760013 is an equidigital number, since it uses as much as digits as its factorization.

2760013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 2760013 is about 1661.3286851192. The cubic root of 2760013 is about 140.2718019028.

Adding to 2760013 its reverse (3100672), we get a palindrome (5860685).

The spelling of 2760013 in words is "two million, seven hundred sixty thousand, thirteen".