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653680513 is a prime number
BaseRepresentation
bin100110111101100…
…101111110000001
31200120000102002101
4212331211332001
52314320234023
6144510350401
722125123043
oct4675457601
91616012071
10653680513
11305a92932
12162abb401
13a5572305
1462b5ba93
153c5c31ad
hex26f65f81

653680513 has 2 divisors, whose sum is σ = 653680514. Its totient is φ = 653680512.

The previous prime is 653680499. The next prime is 653680543. The reversal of 653680513 is 315086356.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 626400784 + 27279729 = 25028^2 + 5223^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-653680513 is a prime.

It is not a weakly prime, because it can be changed into another prime (653680543) 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 as a sum of consecutive naturals, namely, 326840256 + 326840257.

It is an arithmetic number, because the mean of its divisors is an integer number (326840257).

Almost surely, 2653680513 is an apocalyptic number.

It is an amenable number.

653680513 is a deficient number, since it is larger than the sum of its proper divisors (1).

653680513 is an equidigital number, since it uses as much as digits as its factorization.

653680513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 653680513 is about 25567.1764768814. The cubic root of 653680513 is about 867.8710056457.

The spelling of 653680513 in words is "six hundred fifty-three million, six hundred eighty thousand, five hundred thirteen".