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263641602241 is a prime number
BaseRepresentation
bin1111010110001001000…
…0111001100011000001
3221012111122012001101201
43311202100321203001
513304414222232431
6321040522301201
725022166433603
oct3654220714301
9835448161351
10263641602241
11a189a8a1996
1243119057801
131bb27364394
14ca90473173
156cd0755461
hex3d624398c1

263641602241 has 2 divisors, whose sum is σ = 263641602242. Its totient is φ = 263641602240.

The previous prime is 263641602173. The next prime is 263641602251. The reversal of 263641602241 is 142206146362.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 257129112241 + 6512490000 = 507079^2 + 80700^2 .

It is a cyclic number.

It is not a de Polignac number, because 263641602241 - 27 = 263641602113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 263641602241.

It is not a weakly prime, because it can be changed into another prime (263641602251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131820801120 + 131820801121.

It is an arithmetic number, because the mean of its divisors is an integer number (131820801121).

Almost surely, 2263641602241 is an apocalyptic number.

It is an amenable number.

263641602241 is a deficient number, since it is larger than the sum of its proper divisors (1).

263641602241 is an equidigital number, since it uses as much as digits as its factorization.

263641602241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 263641602241 in words is "two hundred sixty-three billion, six hundred forty-one million, six hundred two thousand, two hundred forty-one".