653513013 has 24 divisors (see below), whose sum is σ = 955824792. Its totient is φ = 430230528.

The previous prime is 653512991. The next prime is 653513017. The reversal of 653513013 is 310315356.

653513013 is a `hidden beast` number, since 6 + 5 + 351 + 301 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49238289 + 604274724 = 7017^2 + 24582^2 .

It is not a de Polignac number, because 653513013 - 2¹⁴ = 653496629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653513017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317295 + ... + 319347.

It is an arithmetic number, because the mean of its divisors is an integer number (39826033).

Almost surely, 2^653513013 is an apocalyptic number.

It is an amenable number.

653513013 is a deficient number, since it is larger than the sum of its proper divisors (302311779).

653513013 is a wasteful number, since it uses less digits than its factorization.

653513013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 653513013 is about 25563.9005826576. The cubic root of 653513013 is about 867.7968711570.

Adding to 653513013 its reverse (310315356), we get a palindrome (963828369).

The spelling of 653513013 in words is "six hundred fifty-three million, five hundred thirteen thousand, thirteen".