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688350253 is a prime number
BaseRepresentation
bin101001000001110…
…110010000101101
31202222020211000211
4221001312100231
52402204202003
6152145422421
723025611023
oct5101662055
91688224024
10688350253
11323612808
1217263aa11
13ac7c0956
14675c4713
154067096d
hex2907642d

688350253 has 2 divisors, whose sum is σ = 688350254. Its totient is φ = 688350252.

The previous prime is 688350251. The next prime is 688350277. The reversal of 688350253 is 352053886.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 611226729 + 77123524 = 24723^2 + 8782^2 .

It is a cyclic number.

It is not a de Polignac number, because 688350253 - 21 = 688350251 is a prime.

Together with 688350251, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (688350251) 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, 344175126 + 344175127.

It is an arithmetic number, because the mean of its divisors is an integer number (344175127).

Almost surely, 2688350253 is an apocalyptic number.

It is an amenable number.

688350253 is a deficient number, since it is larger than the sum of its proper divisors (1).

688350253 is an equidigital number, since it uses as much as digits as its factorization.

688350253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 688350253 is about 26236.4298828937. The cubic root of 688350253 is about 882.9507750660.

The spelling of 688350253 in words is "six hundred eighty-eight million, three hundred fifty thousand, two hundred fifty-three".