653513 has 6 divisors (see below), whose sum is σ = 760266. Its totient is φ = 560112.

The previous prime is 653507. The next prime is 653519. The reversal of 653513 is 315356.

It is an interprime number because it is at equal distance from previous prime (653507) and next prime (653519).

It can be written as a sum of positive squares in only one way, i.e., 499849 + 153664 = 707^2 + 392^2 .

It is not a de Polignac number, because 653513 - 2¹⁴ = 637129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (653519) by changing a digit.

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 in 5 ways as a sum of consecutive naturals, for example, 6620 + ... + 6717.

It is an arithmetic number, because the mean of its divisors is an integer number (126711).

2⁶⁵³⁵¹³ is an apocalyptic number.

It is an amenable number.

653513 is a deficient number, since it is larger than the sum of its proper divisors (106753).

653513 is a wasteful number, since it uses less digits than its factorization.

653513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13351 (or 13344 counting only the distinct ones).

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

The square root of 653513 is about 808.4015091525. The cubic root of 653513 is about 86.7796865403.

Adding to 653513 its reverse (315356), we get a palindrome (968869).

The spelling of 653513 in words is "six hundred fifty-three thousand, five hundred thirteen".