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652801313 is a prime number
BaseRepresentation
bin100110111010001…
…111010100100001
31200111100202001102
4212322033110201
52314104120223
6144435444145
722114501553
oct4672172441
91614322042
10652801313
1130554231a
12162756655
13a5325088
14629ad4d3
153c49c928
hex26e8f521

652801313 has 2 divisors, whose sum is σ = 652801314. Its totient is φ = 652801312.

The previous prime is 652801307. The next prime is 652801319. The reversal of 652801313 is 313108256.

652801313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (652801307) and next prime (652801319).

It can be written as a sum of positive squares in only one way, i.e., 531625249 + 121176064 = 23057^2 + 11008^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-652801313 is a prime.

It is a super-2 number, since 2×6528013132 = 852299108509047938, which contains 22 as substring.

It is equal to p33931523 and since 652801313 and 33931523 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 (652801319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 326400656 + 326400657.

It is an arithmetic number, because the mean of its divisors is an integer number (326400657).

Almost surely, 2652801313 is an apocalyptic number.

It is an amenable number.

652801313 is a deficient number, since it is larger than the sum of its proper divisors (1).

652801313 is an equidigital number, since it uses as much as digits as its factorization.

652801313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 652801313 is about 25549.9767710266. The cubic root of 652801313 is about 867.4817356983.

Adding to 652801313 its reverse (313108256), we get a palindrome (965909569).

The spelling of 652801313 in words is "six hundred fifty-two million, eight hundred one thousand, three hundred thirteen".