2552013 has 16 divisors (see below), whose sum is σ = 3904000. Its totient is φ = 1645920.

The previous prime is 2552009. The next prime is 2552021. The reversal of 2552013 is 3102552.

It is a happy number.

It is not a de Polignac number, because 2552013 - 2² = 2552009 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688 + ... + 2361.

It is an arithmetic number, because the mean of its divisors is an integer number (244000).

2^2552013 is an apocalyptic number.

It is an amenable number.

2552013 is a deficient number, since it is larger than the sum of its proper divisors (1351987).

2552013 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (2552012) it forms an eRAP, since the sums of their prime factors are consecutive (3088 and 3089).

2552013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2552013 is about 1597.5021126747. The cubic root of 2552013 is about 136.6556610875.

Adding to 2552013 its reverse (3102552), we get a palindrome (5654565).

It can be divided in two parts, 255 and 2013, that multiplied together give a palindrome (513315).

The spelling of 2552013 in words is "two million, five hundred fifty-two thousand, thirteen".