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253537296017 is a prime number
BaseRepresentation
bin1110110000100000000…
…0000001111010010001
3220020102110011010000212
43230020000001322101
513123221021433032
6312250132053505
724213614313065
oct3541000017221
9806373133025
10253537296017
1198585215095
1241179164295
131aba6b86365
14c3b251baa5
1568dd641bb2
hex3b08001e91

253537296017 has 2 divisors, whose sum is σ = 253537296018. Its totient is φ = 253537296016.

The previous prime is 253537295969. The next prime is 253537296083. The reversal of 253537296017 is 710692735352.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 139458180481 + 114079115536 = 373441^2 + 337756^2 .

It is a cyclic number.

It is not a de Polignac number, because 253537296017 - 26 = 253537295953 is a prime.

It is a super-2 number, since 2×2535372960172 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (253537596017) 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, 126768648008 + 126768648009.

It is an arithmetic number, because the mean of its divisors is an integer number (126768648009).

Almost surely, 2253537296017 is an apocalyptic number.

It is an amenable number.

253537296017 is a deficient number, since it is larger than the sum of its proper divisors (1).

253537296017 is an equidigital number, since it uses as much as digits as its factorization.

253537296017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2381400, while the sum is 50.

The spelling of 253537296017 in words is "two hundred fifty-three billion, five hundred thirty-seven million, two hundred ninety-six thousand, seventeen".