2513643 has 24 divisors (see below), whose sum is σ = 3877056. Its totient is φ = 1436400.

The previous prime is 2513617. The next prime is 2513653. The reversal of 2513643 is 3463152.

It is a happy number.

It is not a de Polignac number, because 2513643 - 2⁶ = 2513579 is a prime.

It is a super-2 number, since 2×2513643² = 12636802262898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11808 + ... + 12018.

It is an arithmetic number, because the mean of its divisors is an integer number (161544).

2^2513643 is an apocalyptic number.

2513643 is a deficient number, since it is larger than the sum of its proper divisors (1363413).

2513643 is a wasteful number, since it uses less digits than its factorization.

2513643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 244 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 2513643 is about 1585.4472555087. The cubic root of 2513643 is about 135.9673184158.

Adding to 2513643 its reverse (3463152), we get a palindrome (5976795).

The spelling of 2513643 in words is "two million, five hundred thirteen thousand, six hundred forty-three".