2536 has 8 divisors (see below), whose sum is σ = 4770. Its totient is φ = 1264.

The previous prime is 2531. The next prime is 2539. The reversal of 2536 is 6352.

2536 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 only one way, i.e., 2500 + 36 = 50^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a d-powerful number, because it can be written as **2**^{7} + **3**^{7} + **5** + **6**^{3} .

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (2531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 151 + ... + 166.

It is an amenable number.

2536 is a deficient number, since it is larger than the sum of its proper divisors (2234).

2536 is a wasteful number, since it uses less digits than its factorization.

2536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 319 counting only the distinct ones).

The product of its digits is 180, while the sum is 16.

The square root of 2536 is about 50.3587132481. The cubic root of 2536 is about 13.6369238827.

Adding to 2536 its sum of digits (16), we get a palindrome (2552).

Adding to 2536 its reverse (6352), we get a palindrome (8888).

It can be divided in two parts, 25 and 36, that multiplied together give a square (900 = 30^{2}).

The spelling of 2536 in words is "two thousand, five hundred thirty-six".

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