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1233357201257 is a prime number
BaseRepresentation
bin10001111100101001110…
…100010101111101101001
311100220111210011111200212
4101330221310111331221
5130201403420420012
62342332501110505
7155051512143446
oct21745164257551
94326453144625
101233357201257
11436077a94115
1217b0489b8435
138c3c736c20c
14439a279c9cd
1522138415b22
hex11f29d15f69

1233357201257 has 2 divisors, whose sum is σ = 1233357201258. Its totient is φ = 1233357201256.

The previous prime is 1233357201211. The next prime is 1233357201317. The reversal of 1233357201257 is 7521027533321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1039633101376 + 193724099881 = 1019624^2 + 440141^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1233357201257 is a prime.

It is not a weakly prime, because it can be changed into another prime (1233357201457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 616678600628 + 616678600629.

It is an arithmetic number, because the mean of its divisors is an integer number (616678600629).

Almost surely, 21233357201257 is an apocalyptic number.

It is an amenable number.

1233357201257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1233357201257 is an equidigital number, since it uses as much as digits as its factorization.

1233357201257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 264600, while the sum is 41.

The spelling of 1233357201257 in words is "one trillion, two hundred thirty-three billion, three hundred fifty-seven million, two hundred one thousand, two hundred fifty-seven".