5156 has 6 divisors (see below), whose sum is σ = 9030. Its totient is φ = 2576.

The previous prime is 5153. The next prime is 5167. The reversal of 5156 is 6515.

It can be written as a sum of positive squares in only one way, i.e., 4900 + 256 = 70^2 + 16^2 .

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5156.

It is not an unprimeable number, because it can be changed into a prime (5153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 641 + ... + 648.

It is an arithmetic number, because the mean of its divisors is an integer number (1505).

2⁵¹⁵⁶ is an apocalyptic number.

It is an amenable number.

5156 is a deficient number, since it is larger than the sum of its proper divisors (3874).

5156 is a wasteful number, since it uses less digits than its factorization.

5156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1291 counting only the distinct ones).

The product of its digits is 150, while the sum is 17.

The square root of 5156 is about 71.8052922841. The cubic root of 5156 is about 17.2757788615.

It can be divided in two parts, 5 and 156, that multiplied together give a triangular number (780 = T₃₉).

The spelling of 5156 in words is "five thousand, one hundred fifty-six".