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253768117 is a prime number
BaseRepresentation
bin11110010000000…
…11000110110101
3122200111202102011
433020003012311
51004431034432
641103044221
76200664511
oct1710030665
9580452364
10253768117
11120277819
1270ba0671
1340761865
14259bb141
151742a847
hexf2031b5

253768117 has 2 divisors, whose sum is σ = 253768118. Its totient is φ = 253768116.

The previous prime is 253768079. The next prime is 253768127. The reversal of 253768117 is 711867352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180391761 + 73376356 = 13431^2 + 8566^2 .

It is a cyclic number.

It is not a de Polignac number, because 253768117 - 211 = 253766069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 253768117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253768127) 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, 126884058 + 126884059.

It is an arithmetic number, because the mean of its divisors is an integer number (126884059).

Almost surely, 2253768117 is an apocalyptic number.

It is an amenable number.

253768117 is a deficient number, since it is larger than the sum of its proper divisors (1).

253768117 is an equidigital number, since it uses as much as digits as its factorization.

253768117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 70560, while the sum is 40.

The square root of 253768117 is about 15930.1009726869. The cubic root of 253768117 is about 633.1097751744.

The spelling of 253768117 in words is "two hundred fifty-three million, seven hundred sixty-eight thousand, one hundred seventeen".