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171559312961 is a prime number
BaseRepresentation
bin1001111111000110111…
…0110101111001000001
3121101211021010002101012
42133301232311321001
510302323141003321
6210451355250305
715252254046041
oct2376156657101
9541737102335
10171559312961
116683783a073
12292baa49995
131324101568a
148436bb9721
1546e16ae05b
hex27f1bb5e41

171559312961 has 2 divisors, whose sum is σ = 171559312962. Its totient is φ = 171559312960.

The previous prime is 171559312943. The next prime is 171559312979. The reversal of 171559312961 is 169213955171.

It is a balanced prime because it is at equal distance from previous prime (171559312943) and next prime (171559312979).

It can be written as a sum of positive squares in only one way, i.e., 156499360000 + 15059952961 = 395600^2 + 122719^2 .

It is a cyclic number.

It is not a de Polignac number, because 171559312961 - 226 = 171492204097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (171559312931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 85779656480 + 85779656481.

It is an arithmetic number, because the mean of its divisors is an integer number (85779656481).

Almost surely, 2171559312961 is an apocalyptic number.

It is an amenable number.

171559312961 is a deficient number, since it is larger than the sum of its proper divisors (1).

171559312961 is an equidigital number, since it uses as much as digits as its factorization.

171559312961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 510300, while the sum is 50.

The spelling of 171559312961 in words is "one hundred seventy-one billion, five hundred fifty-nine million, three hundred twelve thousand, nine hundred sixty-one".