513653 has 4 divisors (see below), whose sum is σ = 587040. Its totient is φ = 440268.

The previous prime is 513649. The next prime is 513673. The reversal of 513653 is 356315.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 356315 = 5 ⋅71263.

It is a cyclic number.

It is not a de Polignac number, because 513653 - 2² = 513649 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 (513673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36683 + ... + 36696.

It is an arithmetic number, because the mean of its divisors is an integer number (146760).

2⁵¹³⁶⁵³ is an apocalyptic number.

It is an amenable number.

513653 is a deficient number, since it is larger than the sum of its proper divisors (73387).

513653 is an equidigital number, since it uses as much as digits as its factorization.

513653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73386.

The product of its digits is 1350, while the sum is 23.

The square root of 513653 is about 716.6958908770. The cubic root of 513653 is about 80.0860012642.

Adding to 513653 its reverse (356315), we get a palindrome (869968).

It can be divided in two parts, 5 and 13653, that multiplied together give a triangular number (68265 = T₃₆₉).

The spelling of 513653 in words is "five hundred thirteen thousand, six hundred fifty-three".