513256 has 8 divisors (see below), whose sum is σ = 962370. Its totient is φ = 256624.

The previous prime is 513239. The next prime is 513257. The reversal of 513256 is 652315.

It is a happy number.

513256 is digitally balanced in base 3, 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., 324900 + 188356 = 570^2 + 434^2 .

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

It is not an unprimeable number, because it can be changed into a prime (513257) by changing a digit.

513256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32071 + ... + 32086.

2⁵¹³²⁵⁶ is an apocalyptic number.

It is an amenable number.

513256 is a deficient number, since it is larger than the sum of its proper divisors (449114).

513256 is a wasteful number, since it uses less digits than its factorization.

513256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64163 (or 64159 counting only the distinct ones).

The product of its digits is 900, while the sum is 22.

The square root of 513256 is about 716.4188718899. The cubic root of 513256 is about 80.0653632477.

It can be divided in two parts, 513 and 256, that multiplied together give a triangular number (131328 = T₅₁₂).

The spelling of 513256 in words is "five hundred thirteen thousand, two hundred fifty-six".