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253725313 is a prime number
BaseRepresentation
bin11110001111110…
…00101010000001
3122200102120200211
433013320222001
51004423202223
641102114121
76200425642
oct1707705201
9580376624
10253725313
11120248646
1270b7b941
134074822a
14259a96c9
151741cd0d
hexf1f8a81

253725313 has 2 divisors, whose sum is σ = 253725314. Its totient is φ = 253725312.

The previous prime is 253725301. The next prime is 253725331. The reversal of 253725313 is 313527352.

253725313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (253725331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 138956944 + 114768369 = 11788^2 + 10713^2 .

It is a cyclic number.

It is not a de Polignac number, because 253725313 - 221 = 251628161 is a prime.

It is not a weakly prime, because it can be changed into another prime (253725013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126862656 + 126862657.

It is an arithmetic number, because the mean of its divisors is an integer number (126862657).

Almost surely, 2253725313 is an apocalyptic number.

It is an amenable number.

253725313 is a deficient number, since it is larger than the sum of its proper divisors (1).

253725313 is an equidigital number, since it uses as much as digits as its factorization.

253725313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18900, while the sum is 31.

The square root of 253725313 is about 15928.7574217200. The cubic root of 253725313 is about 633.0741768561.

The spelling of 253725313 in words is "two hundred fifty-three million, seven hundred twenty-five thousand, three hundred thirteen".