2613601 has 2 divisors, whose sum is σ = 2613602. Its totient is φ = 2613600.

The previous prime is 2613547. The next prime is 2613607. The reversal of 2613601 is 1063162.

2613601 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., 2387025 + 226576 = 1545^2 + 476^2 .

It is a cyclic number.

It is not a de Polignac number, because 2613601 - 2¹³ = 2605409 is a prime.

It is an Ulam number.

2613601 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (2613607) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1306800 + 1306801.

It is an arithmetic number, because the mean of its divisors is an integer number (1306801).

2^2613601 is an apocalyptic number.

It is an amenable number.

2613601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2613601 is an equidigital number, since it uses as much as digits as its factorization.

2613601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 2613601 is about 1616.6635395159. The cubic root of 2613601 is about 137.7462430478.

Adding to 2613601 its reverse (1063162), we get a palindrome (3676763).

The spelling of 2613601 in words is "two million, six hundred thirteen thousand, six hundred one".