2588013 has 6 divisors (see below), whose sum is σ = 3738254. Its totient is φ = 1725336.

The previous prime is 2587997. The next prime is 2588051. The reversal of 2588013 is 3108852.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2566404 + 21609 = 1602^2 + 147^2 .

It is not a de Polignac number, because 2588013 - 2⁴ = 2587997 is a prime.

It is a super-2 number, since 2×2588013² = 13395622576338, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

2588013 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2588093) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143770 + ... + 143787.

2^2588013 is an apocalyptic number.

It is an amenable number.

2588013 is a deficient number, since it is larger than the sum of its proper divisors (1150241).

2588013 is a wasteful number, since it uses less digits than its factorization.

2588013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287563 (or 287560 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2588013 is about 1608.7302446339. The cubic root of 2588013 is about 137.2952412394.

The spelling of 2588013 in words is "two million, five hundred eighty-eight thousand, thirteen".