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252173061761 is a prime number
BaseRepresentation
bin1110101011011010101…
…1111000111010000001
3220002220101002211110012
43222312223320322001
513112422300434021
6311502515514305
724135040441535
oct3526653707201
9802811084405
10252173061761
1197a45134765
1240a582b8995
131aa1a34b05a
14c2c3279bc5
15685d9b435b
hex3ab6af8e81

252173061761 has 2 divisors, whose sum is σ = 252173061762. Its totient is φ = 252173061760.

The previous prime is 252173061667. The next prime is 252173061779. The reversal of 252173061761 is 167160371252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 244907204161 + 7265857600 = 494881^2 + 85240^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252173061761 is a prime.

It is a super-2 number, since 2×2521730617612 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (252173064761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126086530880 + 126086530881.

It is an arithmetic number, because the mean of its divisors is an integer number (126086530881).

Almost surely, 2252173061761 is an apocalyptic number.

It is an amenable number.

252173061761 is a deficient number, since it is larger than the sum of its proper divisors (1).

252173061761 is an equidigital number, since it uses as much as digits as its factorization.

252173061761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840, while the sum is 41.

The spelling of 252173061761 in words is "two hundred fifty-two billion, one hundred seventy-three million, sixty-one thousand, seven hundred sixty-one".