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315520066664353 is a prime number
BaseRepresentation
bin100011110111101101011110…
…1011111100011011110100001
31112101011102102221110211220001
41013233122331133203132201
5312323440044031224403
63035015530111220001
7123313400246454625
oct10757327537433641
91471142387424801
10315520066664353
119159734404a421
122b479a9bb17601
1310709550bbb445
1457cb37760b185
15267260363ec1d
hex11ef6bd7e37a1

315520066664353 has 2 divisors, whose sum is σ = 315520066664354. Its totient is φ = 315520066664352.

The previous prime is 315520066664339. The next prime is 315520066664431. The reversal of 315520066664353 is 353466660025513.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 255662735154849 + 59857331509504 = 15989457^2 + 7736752^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-315520066664353 is a prime.

It is a super-3 number, since 3×3155200666643533 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 315520066664294 and 315520066664303.

It is not a weakly prime, because it can be changed into another prime (315520066664653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157760033332176 + 157760033332177.

It is an arithmetic number, because the mean of its divisors is an integer number (157760033332177).

Almost surely, 2315520066664353 is an apocalyptic number.

It is an amenable number.

315520066664353 is a deficient number, since it is larger than the sum of its proper divisors (1).

315520066664353 is an equidigital number, since it uses as much as digits as its factorization.

315520066664353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992000, while the sum is 55.

The spelling of 315520066664353 in words is "three hundred fifteen trillion, five hundred twenty billion, sixty-six million, six hundred sixty-four thousand, three hundred fifty-three".