2652013 has 16 divisors (see below), whose sum is σ = 3302656. Its totient is φ = 2073600.

The previous prime is 2652011. The next prime is 2652029. The reversal of 2652013 is 3102562.

It is a happy number.

2652013 is nontrivially palindromic in base 11.

It is a cyclic number.

It is not a de Polignac number, because 2652013 - 2¹ = 2652011 is a prime.

It is the 1629-th Hogben number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2652011) by changing a digit.

It is a nontrivial repunit in base 1628.

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 15 ways as a sum of consecutive naturals, for example, 13645 + ... + 13837.

It is an arithmetic number, because the mean of its divisors is an integer number (206416).

2^2652013 is an apocalyptic number.

It is an amenable number.

2652013 is a deficient number, since it is larger than the sum of its proper divisors (650643).

2652013 is a wasteful number, since it uses less digits than its factorization.

2652013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2652013 is about 1628.5002302732. The cubic root of 2652013 is about 138.4177810527.

Adding to 2652013 its reverse (3102562), we get a palindrome (5754575).

It can be divided in two parts, 265 and 2013, that added together give a triangular number (2278 = T₆₇).

The spelling of 2652013 in words is "two million, six hundred fifty-two thousand, thirteen".