36513 has 6 divisors (see below), whose sum is σ = 52754. Its totient is φ = 24336.

The previous prime is 36497. The next prime is 36523. The reversal of 36513 is 31563.

It can be written as a sum of positive squares in only one way, i.e., 31329 + 5184 = 177^2 + 72^2 .

It is not a de Polignac number, because 36513 - 2⁴ = 36497 is a prime.

It is a Duffinian number.

36513 is a lucky number.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36513.

It is not an unprimeable number, because it can be changed into a prime (36523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2020 + ... + 2037.

2³⁶⁵¹³ is an apocalyptic number.

It is an amenable number.

36513 is a deficient number, since it is larger than the sum of its proper divisors (16241).

36513 is a wasteful number, since it uses less digits than its factorization.

36513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063 (or 4060 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 36513 is about 191.0837512715. The cubic root of 36513 is about 33.1753748784.

Subtracting from 36513 its reverse (31563), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 365 and 13, that added together give a triangular number (378 = T₂₇).

The spelling of 36513 in words is "thirty-six thousand, five hundred thirteen".