2513305 has 8 divisors (see below), whose sum is σ = 3025800. Its totient is φ = 2004096.

The previous prime is 2513293. The next prime is 2513309. The reversal of 2513305 is 5033152.

2513305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1545049 + 968256 = 1243^2 + 984^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2513305 - 2²¹ = 416153 is a prime.

It is a super-3 number, since 3×2513305³ = 47627396333936542875, which contains 333 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2513309) 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 in 7 ways as a sum of consecutive naturals, for example, 1431 + ... + 2659.

It is an arithmetic number, because the mean of its divisors is an integer number (378225).

2^2513305 is an apocalyptic number.

It is an amenable number.

2513305 is a deficient number, since it is larger than the sum of its proper divisors (512495).

2513305 is a wasteful number, since it uses less digits than its factorization.

2513305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643.

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 2513305 is about 1585.3406573983. The cubic root of 2513305 is about 135.9612238068.

Adding to 2513305 its reverse (5033152), we get a palindrome (7546457).

The spelling of 2513305 in words is "two million, five hundred thirteen thousand, three hundred five".