653113 has 2 divisors, whose sum is σ = 653114. Its totient is φ = 653112.

The previous prime is 653111. The next prime is 653117. The reversal of 653113 is 311356.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 466489 + 186624 = 683^2 + 432^2 .

It is a cyclic number.

It is not a de Polignac number, because 653113 - 2¹ = 653111 is a prime.

Together with 653111, it forms a pair of twin primes.

653113 is a lucky number.

It is equal to p₅₃₀₅₆ and since 653113 and 53056 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (653111) 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 as a sum of consecutive naturals, namely, 326556 + 326557.

It is an arithmetic number, because the mean of its divisors is an integer number (326557).

2⁶⁵³¹¹³ is an apocalyptic number.

It is an amenable number.

653113 is a deficient number, since it is larger than the sum of its proper divisors (1).

653113 is an equidigital number, since it uses as much as digits as its factorization.

653113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 270, while the sum is 19.

The square root of 653113 is about 808.1540694694. The cubic root of 653113 is about 86.7619776556.

Adding to 653113 its reverse (311356), we get a palindrome (964469).

The spelling of 653113 in words is "six hundred fifty-three thousand, one hundred thirteen".