653313 has 4 divisors (see below), whose sum is σ = 871088. Its totient is φ = 435540.

The previous prime is 653311. The next prime is 653321. The reversal of 653313 is 313356.

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.

It is not a de Polignac number, because 653313 - 2¹ = 653311 is a prime.

It is a D-number.

It is a Duffinian number.

653313 is a lucky number.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 653313.

It is not an unprimeable number, because it can be changed into a prime (653311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108883 + ... + 108888.

It is an arithmetic number, because the mean of its divisors is an integer number (217772).

It is a Proth number, since it is equal to 319 ⋅ 2¹¹ + 1 and 319 < 2¹¹.

2⁶⁵³³¹³ is an apocalyptic number.

It is an amenable number.

653313 is a deficient number, since it is larger than the sum of its proper divisors (217775).

653313 is a wasteful number, since it uses less digits than its factorization.

653313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217774.

The product of its digits is 810, while the sum is 21.

The square root of 653313 is about 808.2777987796. The cubic root of 653313 is about 86.7708330015.

Adding to 653313 its reverse (313356), we get a palindrome (966669).

The spelling of 653313 in words is "six hundred fifty-three thousand, three hundred thirteen".