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253508257 is a prime number
BaseRepresentation
bin11110001110000…
…11101010100001
3122200000112221201
433013003222201
51004344231012
641053321201
76165533062
oct1707035241
9580015851
10253508257
1112010a562
1270a96201
13406a04b2
1425950569
15173c8857
hexf1c3aa1

253508257 has 2 divisors, whose sum is σ = 253508258. Its totient is φ = 253508256.

The previous prime is 253508249. The next prime is 253508261. The reversal of 253508257 is 752805352.

253508257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127148176 + 126360081 = 11276^2 + 11241^2 .

It is a cyclic number.

It is not a de Polignac number, because 253508257 - 23 = 253508249 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (253508357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126754128 + 126754129.

It is an arithmetic number, because the mean of its divisors is an integer number (126754129).

Almost surely, 2253508257 is an apocalyptic number.

It is an amenable number.

253508257 is a deficient number, since it is larger than the sum of its proper divisors (1).

253508257 is an equidigital number, since it uses as much as digits as its factorization.

253508257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84000, while the sum is 37.

The square root of 253508257 is about 15921.9426264511. The cubic root of 253508257 is about 632.8935986947.

The spelling of 253508257 in words is "two hundred fifty-three million, five hundred eight thousand, two hundred fifty-seven".